Snakeskin is also included in the Hamlet DLC, however, it can only be obtained by killing Vipers and has a very different appearance.
Since Snakes are hostile to most mobs, Snake Skin can be farmed easily by placing other mobs near snake-infested Viney Bushes. However, The mobs need to be active at dusk and night, since Snakes are only active during those times. Prime Apes and Spiders work well for this purpose. Prime Apes will collect the drops (except with Wilbur), which means the player will need to kill or befriend them to obtain the Snake Skin.