Ok, but as I read your post it seems like you've debunked the myth about vaccines on your own since you continuously acknowledge how food's, such as wheat or meats are most likely the cause of his itching and rashes.
There is no doubt that food is intensely involved. But the vaccine pushed him over the edge. Nothing in the breastmilk changed. And the vaccine was subsequently identified to be highly allergic for him using the same testing methods that positively identified everything else he was highly allergic to.
With that said, I'm not debunking an electrodermal testing, all I'm telling you to do is take him for an allergy test at an allergist.
We already did, after visiting the dermatologist. It's just the allergist in this case was a Naturopath and used a method of testing that we don't understand. We cut out the substances he identified, took the homeopathic drops and creams he prescribed and our son cleared up completely. He's 6 now and is very happy and doesn't flare up

Very interestingly, he has developed a vomit reflex to some of the foods that used to make him break out in itchy hives. We think this is an incredibly helpful development! If his body has learned to reject the foods outright, that's a huge plus.
We shared your pain on creams. The vast majority would hurt him. Another big plus for the Naturopath was the incredibly expensive Vitamin D cream he prescribed. I was resentful of the high price and ordered some other cream off Amazon that looked the same and also said "vitamin D cream" on the bottle, but it burned his skin and made him cry. This guy just really knew his stuff.
How about you try going to a real Dr. I don't mean to be coy with you. But lets pretend for a moment that god forbid something serious is happening with your son, wife, or yourself included. It pertains to the heart or brain, or organs like your kidney. Do you intend to go the homeopathic route first, or will you visit a specialist?
We did. We ended up at a Naturpath as a last resort. We literally spent thousands flying out to a health care provider not covered by our insurance because the ones that are covered wouldn't or couldn't help. If I end up with a heart or brain or kidney issue I'm sure I'll see a real doctor first. But I think I've learned how important it can be to get a second opinion from someone invested in alternate methods of healing.
Seems like the meat isn't actually what is causing it, if that's the case.
His eczema is really fascinating in that it blooms within seconds of contact with his triggers. About 75% of ground beef causes him to flare up. And it is definately the beef. We basically just treat it like an allergen. I suspect none of us would eat beef either if 75% of the time we did, we ended up itching all over our bodies...
Did everything on the list turn out to be a trigger?
Pretty much yes. We didn't try to expose him to the things on the list. We just ended up making mistakes sometimes and discovering that "Oh, yes, that really is quite bad". Black pepper was one of them. It's so easy to forget and sprinkle black pepper into recipes. Especially Grandma and Grandpa who didn't have the daily reminder.
But so as stuff died down in sensitivity over consecutive testings and then appeared to drop off his "bad list", we would then try adding them to his diet, with mixed results. Sometimes he was still sensitive even though the equipment says he no longer was. Sometimes he wasn't.
It is extremely unlikely that a vaccine could cause a rash that persisted for 3 months or had anything to do with it at all. You have to understand how common eczema is with children. Clinical studies have found no link between early childhood eczema and vaccinations.
The Naturopath believed that our son had a compromised immune system and low liver function, and that the shot pushed him over the cliff so to speak. Since he was right about everything else that made him red, we are inclined to believe him on this too.
Were you treating him at all for the rashes before the vaccine?
Of course. We had found that glaxal base and then vasseline seemed to work reasonably well for skin moisture. Pre-shot, it was quite manageable. A good bath followed by the cream and then the vaseline to seal it all was enough for him to be able to get to sleep without scratching. Not so after the shot. Very very bad...
I think I fault western medicine the most for its failure to acknowledge that the co-incident shot could possibly have had anything to do with it. A method of testing which was successful in identifying his other triggers also identified the shot as being one. If we only had "Post Hoc", then I can see the validity of saying that it also snowed, or whatever, as Mick does above. But we subsequently identified the "Proctor Hoc" separately. But it was identified through a means of testing that is not recognized within the structural paradigm of our medical science establishment. This does not make it invalid. It rather invalidates the credibility of the medical establishment....at least in this case.
Do you know what allergy test your pediatrician ran? If he was testing for IgE antibodies (antibodies associated with allergic responses), it might not have detected it. IgE tests are just an initial screen and infants may not have developed enough IgE's to give a positive result yet. There are other immune system functions that can trigger allergic reactions.
No, I'm sorry I don't.
To us, the bottom line is that the Naturopath fixed him, and using a bunch of quackery. The electrodermal testing is supposed to be bunk. So are the homeopathic tinctures. Yet the specialist dermatologist that we visited, and who must have had at least 12 years of schooling to reach this position, was worse than useless, as was our family MD. It really peeves me off that our dermatologist visit likely cost the public health care system more than the cost of both the flights to Kelowna and the first month of visits with the Naturopath. And it was sooooo useless.
Our son was healed outside the box of the accepted medical system. And the fellow who healed him believed that the shot dramatically exhascerbated the problem. If western medicine had done anything right, I might be more inclined to believe the "it couldn't have been this or that" stuff that proponents of western medicine throw out. But as it stands, it simply appears that their reasoning has been tied down and constrained in such a way as to prevent them doing their job.