Another way to get him into a home is if he proves to be a fall risk, or if he proves to be a physical threat to himself or someone else. If he ever tried to physically harm himself, that could be enough for them to clear him.
God bless the people that work in nursing homes. I have a fair degree of patience, but working in an environment like that is overwhelming. People can get belligerent, violent, scream all sorts of obscenities at you, fun stuff. If you can last a week working there, you're eligible for sainthood.