Well, I too thought about the playing dead aspect, but there were flies on it and it appeared to have rigor mortise. I dumped it out of the trap and let it alone for awhile, but it was truly dead, I wrapped it in a couple of grocery bags and put it in the trash bin for pickup. It wasn't breathing at all.
I think it might have decided to play dead, like they do, but being an especially stupid one, forgot to wake up until it was already dead.