Larry,
If you do not know exactly which chemical(s) is(are) causing you problems, you just might be able to figure out which component or components of the various lubes are causing your skin to break out.
Could you list the lubes (as well as other non-gun related products, if any) that make trouble for you? And any chemicals, such as acetone, paint thinner, turpentine, 1-1-1 Trichloroethane, brake cleaner, carb cleaner, starting fluid, etc. that you know of.
I think we should be able to figure it out and get you a good lube that won't make you break out!
I have quite a few MSDSes, as well as access to an online MSDS database, that I can use to cross-reference the ingredients in those products that cause you trouble.
I would be more than happy to help. The research will benefit me, also, as well as others who may have similar problems (I know of at least one other person).
Then from there it would be a simple matter of either finding a product, or making your own, that does not contain any of the "bad" components.