Buckhunter..............unfortunately most jurisdictions will not allow you to dispose of carcasses in the trash. Most landfill sites will not take them either.
Farmers/ranchers run into this problem a lot as well and it is a BIG problem for them. Since the BSE problem occured there are few if any disposal trucks that come to pick up carcasses of dead livestock........as most of the old rendering plants had to change what they could take and use.
Most provinces and states have regulations that require dead livestock to be buried, cremated or composted.......few allow for natural disposal (drag it in the bush and let the coyotes and birds have it). So......I will use me as a case in point.......if I have a cow die I have to bury it (costly to get a backhoe in to dig a hole for a cow, not to mention the ground is frozen until may), cremate it (I would have to truck the animal about 90 miles to the closest facility that could handle a cow......not to mention it would cost a lot to have it done) or develop a compost site to bury the animal in soil and sawdust and keep turning it as it rots, then eventually get a spreader in to spread it and work it back into the land. All time consuming and expensive.
It sure was a lot easier when the 'bone truck' would just stop in on his rounds and pick it up.