You could try the Hot Stuff UFO CA. It doesn't kick with as much smoke and it's supposed to alleviate a lot of the allergy problems.
I don't have an allergy problem so I wouldn't know if the claim is correct however, I do know it doesn't kick off with as much smoke. I use it on foam parts and it isn't as hot as normal CA so it's safe for foam.
http://www3.towerhobbies.com/cgi-bin...?&I=LXM367&P=V
Just a thought. You could always go to Titebond anyway.
Don