How thick is the material? You'd be surprised how thin a surface can be hinged with the thin CA type hinges if you're careful. I do 3/32" & 1/8" stock regularly. If it's 1/16", bevel the elev. up from from the bottom and use a 1" wide strip of your iron on film, top & bottom. Just cover both surfaces 1st, iron on the top hinge strip 1st, fold the elev. over on top of the stab., then iron on the bottom strip. Leave about a 3/64" gap between the stab & elev. so the top & bottom strips of film are ironed together. Much harder to describe than to do! Also, clean the surfaces with acetone or alcohol before beginning to remove any skin oils.