Well the way I see it, is if you use the animal parts left over after death it in a way honors the spirit of the animal. If a snake I owned where to pass I would skin it myself, I don’t know what I would use the skin for; I may just frame and hang it. The rest of the snake would be placed in a tank and put outside near a red ant hill. The red aunts would make short work of the meat, and leave only the bones, then a soak in bleach, and some wire and ta-da a snake skeleton.
I had one rat I really liked, he died while I was out for the night, and the other rats took care of what I was not there to take care of. When I came home all that was left was skin and bones, I placed the body outside in a mesh box and let the bugs clean it. I still have the skull, but the rest was buried.

As long as it is not something uber tacky, be tasteful in your homage.

(I don't think snakeskin would look that good on a dreamcatcher, but maby a snakehook with the handle covered with snakeskin)