Can just see it.
85 year old grandmother. Loved by everyone. Wanders out to recycle her newspapers. Pops open her bin and......BINGO! There's a plastic bag in there that doesnt belong.
So she hauls it out and opens it to check what's inside and there's Lucky (smelling a trifle by now because...
Not sure it qualifies as recyclable. A vet will dispose of the carcass properly for a fee or the local council will help but if you want to save money perhaps you could cremate it on the patio?