I shoot groundhogs on my brother's girlfriend's farm. She was kind of yucked out the first time I just left the critters where they died, so out of courtesy I started carrying a small shovel (my old USMC e-tool) and flinging them into the nearest hole and covering them up. If no hole within 30 feet, I dig another one and bury the furry thing. I'm only shooting 6 to 10 hogs a trip, so it's not too much work.
Remember, it's not that life is short, it's that death is so long.;Q