CA should do the job fine , but if the vapour is a problem (it shouldnt be) you could use the odourless CA , generaly its best with the odourless to use an activator as it is always slower, although we have the fastest odourless available its still slower than the standard CA, balsa to balsa odourless is no problem, very quick set, but on plastics its slower due to lack of moisture to trigger the cure.
Contact glues would also work fine, but they are harder to get the bits in the right place, our contact sticks instantly, but you can seperate the parts for about 5 minutes so it does give more time than some contact glues, you can also use our contact glue as a general adhesive assembling while wet.
CA vapour should never be a problem if used correctly......in a well ventillated room etc, as you can not become allergic to it......
But it will irritate your mucous membranes (sinuses) untill they are burned, the burning will trigger the bodys response of producing mucous , this blocks your sinuses and then you will get headaches, the same with your chest, eyes etc, too much vapour and it will dry the surface of your eyes, and your lungs, making the body moisten them, making you cough and your eyes water
Just dont get a large dose of vapour in your eyes an there will be no effect, if you get a large dose of fumes, give up with the glue till the next day and all will generaly be fine, it cant build up in your body, but if the surface gets burned/dried by the vapour then it will not go away untill the fumes do, then your body will heal, once healed/symptoms are gone just dont let the fumes build next time and you should be fine.
The odourless can not give any symptoms as it has such a low vapour presure and high molecular weight that the fumes can not enter the air in quantities that could ever cause a problem, but if heated it will still cause problems (soldering iron etc)
Most of the glues with solvents are actualy more toxic, but again used according to manufacturers recomendations they are quite safe
Some glues with no apparent vapour are the most toxic of all, such as moisture cure polyurethanes, they give off odourless isocyanate vapour, that will set in your lumgs, so glues having a smell can be good, at least you can smell them
We have just started selling retail (has been available from ourselves to the adhesives trade for a few years) a waterbased contact glue formulated from polychloroprene (most common brand of polychloroprene is Neoprene) , you use it just like evostick, but it has no solvents ,you can wash it off before it drys, once dry it is 100% waterproof (the main use we supply it for is adhesive for manufacturers of waders and wetsuits)
We now (10 minutes ago) have the waterbased contact on ebay
http://cgi.ebay.co.uk/ws/eBayISAPI.dll?ViewItem&item=360096470485