Re deceased squirrel: I might be inclined to dig up a squirrel-sized clump of sod next to the rodent, dig out some of the soil beneath, and use a couple of twigs to push him in. Then cover with the the clump of sod/grass. I had a dead cat in my backyard that some predator appeared to make quick work of, but had left body parts behind, most notably the ears - they had to go. I figure that if ears are the undesirable portion of the hunted, they could remain for who knows how long; same with bones. For me, it was worth the effort to make the remains disappear.