If your interest is in identifying what component of beer is triggering your reaction, it might be helpful to make friends with a homebrewer or your local small brewery. They can provide you with the individual ingredients (hops, yeast, wort) so you can test which of them gives you the bad reactions.

Once you figure that out, you can experiment with seeing if there's styles that don't affect you as much. If it's hops, there are styles that go much lighter on the hops, or might use a strain that doesn't cause as much of a reaction for you. If it's yeast, try some non-traditional yeasted beers - lagers use a completely different type of yeast than standard ales, as do Weiss beirs (like a heffeweissen) and sours (wild ales) - or just cut out the yeast entirely and do seltzers. If it's wort (the steeped grain water where the sugar comes from that the yeast converts to alcohol) try some gluten free beers to see if it's a gluten allergy causing you problems. If gluten free doesn't make a difference, you're likely better off avoiding beer (and whiskey, effectively unhopped and distilled beer).