Grief yours reminds me of mine. He 'wanted' to move out, and would, if only I would agree to his many varied demands...
Once you back down for an easy life it will only get worse. They really have the minds of children - ah it worked last time, i'll try it again!
Decide on your boundaries and stick to them. Arriving at 5am is unacceptable, even if your DC is usually awake then. It won't last forever, and on the odd time you actually get a lie in you don't want him turning up. It's not up to you to demonstrate that it's a problem - any reasonable person can see it's not OK.
Until he knows where he's living, it's hard to arrange things. But you can decide on some boundaries e.g.
- timings - not before a certain time, not after a certain time.
- if he wants outside those times, that would be overnight contact, for which he would have to have adequate accommodation
- access not to be in your home
This may mean he takes longer to move out. You have to be as withdrawn as possible, get on with your life - you can be separated even living under the same roof. Don't be desperate - if he can see this is what you want, he'll drag his heels even longer!
Quite true that he may have a claim on the house. Also was ditto with my situation. Once he's out - box up his stuff, make the house your own, put his stuff out of the way. If he wants anything, you can drop it round (along with the rest of the box, so it's gradually moving).