Are you sure it isn't the chemicals you are having a reaction to?
I know the fabric cutting makes alot of dust, but you would have dust when you cut them also.
Have you had reactions to other fabrics or whilein the fabric store?
I woudl send them back or if you really want to keep them try throwing them in a lingerie bag and do the fluff cycle of the dryer- this will get rid of the lint and dust.
if you still have a problem with them it is the chemicals.
And if you have this bad of reactions you may want to get another hobby.
It's not good for you to keep exposing your self