I appreciate your point but the psychological trajectory he is on will eventually manifest itself is increasingly bizarre behavior. At some point people in the state will need to convince him to leave before he totally embarrasses them with his quixotic antics.
The Senate itself may decide that he is embarrassing the institution (as hard as that is to do) and encourage him to call it a day. They wouldn’t impeach a war hero, but they would find a way to tell him its time to go.
It's in Article I, Section 5, of the United States Constitution. No other way out. Sorry, but those are the facts.
You can read about it here.