You need something thin for snakes skins, smooth on is way to thick and would be impossible to squeeze out the excess from under the skin.
I recommend TB3 or Elmer's Stainable wood glue, both are a neutral color and won't show through your skin. I use a glue brush dipped in water to thin the glue as I put it on.
I have skinned about 50 bows and started out with TB1, the problem with that glue is it is yellow and will show through your skin.
I used TB1 on my late wife's bow years ago, the yellow really shows through.