I have never tried gluing a wet head. I have always either used tacks, or a ring (like on a banjo) to stretch the head. Hide glue (like your goat skin glue, but made from cow hide, I believe) would probably be the best bet. It is dissolved in water to activate it, so try a thick consistency, but the hide will still have to be tacked or somehow kept under tension while the glue dries, which will take a considerable time with a wet head. Superglue is not meant for this kind of job, and it is catalyzed by water, so putting a wet hide on it would make the instrument very hot very quickly. I have never heard of superglue starting fires, but it does get hot enough to cause burns if you touch it.
MIMForum Staff - Way North of Baltimore