Seems a bit of an undignified end, a wheelie bin doesn't it!?
Might grab the shovel once the kids are out the house. I have become quite fond of the local ducks, we back on to a small park and they are regular visitors to the garden...
I would only put it in the bin if the binmen are due to come today or tomorrow. Even though it's bagged, it won't be a pretty sight (or smell) in this heat.
Most other meat in the bin doesn't have it's entrails and other bodily fluids in it. Personally, I'd do what mallyh said. Secrete it somethere in the countryside and let nature take it's course.
I definitely wouldn't bother burying it. I can't deal with dead animals at all, so I'd wait for OH to come home, so he could pick it up and chuck it somewhere. Possibly in the bit of the garden where the foxes hang out.