I'm also allergic too Apoxie Sculpt and other two part epoxies. I first noticed it about 5 years ago. After working with the Apoxie my eyelids would become red and itchy for the next day or two. I figured out I was getting the Apoxie on my hands and then rubbing my eyes. What I learned to do is use gloves when sculpting. I prefer the vinyl ones because I can use then multiple times. The latex ones are hard to get your hands back in after they've been used once. The other important thing I learned is to let the Apoxie fully cure before you start handling it with bare hands. Not just hardened, but fully cured. For Apoxie that takes 24 hours, so I wait a full day before I do any sanding or painting on what I've sculpted. Even when its hard after 4 or 5 hours, it can still rub off on your fingers and cause a reaction. But once its fully cured for a full day I don't have any problems. Other than that, I wash my hands really well after sculpting and I'll use some hydrocortisone cream on my eyelids if I've been careless and they start to itch. Hope that helps you out.
I'm worried that a lot of the alternatives will give you similar reactions since I think most two piece clays contain the same basic ingredients but none the less here are some to try, millput, plumbers putty, here are some alternatives which aren't that kind of clay, sculpty, green stuff,
millput, plumbers putty,
here are some alternatives which aren't that kind of clay,
sculpty, green stuff,