You could try sublingual formulations. You might also be able to use some liquid mineral formulations sublingually. I'd be careful about using liquid formulations transdermally or sublingually, though, because the absorption is not the same among oral (swallowed), sublingual, and transdermal modes. You could overdo the minerals if you take the oral (swallowed) dose by a mode that transmits more to your bloodstream.
I wonder if a compounding pharmacist could make a pill or liquid form into a transdermal form for you. I know they often make pills into liquids for people who can't swallow solids.