If it has to be close to the house, I would dig a hole.
If you have more space, I'd just dump it somewhere farther out where smells are no issue.
My kid has rats and they use a clay-based litter. I tried putting it in my
compost barrel (didn't want to just throw it on the ground, since there are
local rats) and.... the final compost result is strange. It didn't break down, it's like sprinkles dispersed through the compost. I don't think I'll do that again.