So far, the bubble solution Disney uses hasn't been a problem, although DD does cover up her arms and legs during TLM, and she washes her face after the show. Actually, now that she's almost 13, we sometimes skip that show.
In the past we were able to buy a brand of bubbles at Wal-mart that was OK - then one year she had a reaction to it. She seems to have the worst reaction to the solution in those little wedding bottles. Maybe they're stronger? I don't know.
She seems to be outgrowing the really nasty hive reaction - we haven't seen one of those in a few years. We'd hate for her to have one while on vacation at WDW though. And I can't believe that she's the only one on this planet allergic to whatever it is in the bubble solution that seems to burn her skin? The doctors are ??? over it all. Since it doesn't seem to be a life/death allergy (unlike a nut or latex allergy) we stopped having her doctor look at the rash when it occurs. And like I mentioned earlier, she's almost 13 now, and really doesn't play with bubbles now anyways.