Would donating the car to charity (tax write off for you) be acceptable to your husband?
After my father died, my brother donated his car to www.Kars4Kids. Reportedly a quick smooth transaction, in spite of the fact that dad had shredded the pink slip; they took care of it all.

Also, you might want to think about some "runners" for filling the dumpster. It takes a lot of time, running out there and back, you will be way more efficient with help, so you - both- can concentrate on the decisions.