With skins, I don't even bother to wrap the limbs. Lay down the glue (not too thick!!), spread a thin layer on your skins, and put them together. Work from handle to tip with your finger, making sure all the air is worked out. Work the skin down, giving it a little stretch sideways. Let the glue set up a bit (1/2 hr), and go along the edge of the skin with a very sharp blade, and trim the excess. Wait until the glue has completely cured (24hrs), before finishing trimming. Then, gently sand the edge, going with the grain of the scales. Use duct tape to remove scales before applying finish. I usually go with a semigloss brush on or spray on poly. I don't usually shoot the bow for a week, just to let the glue completely cure.
I have used hide glue for SSs, but it was a needless pain in the behind.