At the HoJo at least, you can usually get a late checkout (5pm), and if they don't use you by then, book another night. That is what I used to do anyway.
Put yourself on call first and cross your fingers for a multi day trip. It is kind of a crapshoot, as a lot of reserve trips end up being some kind of local (fly out empty as a rescue plane, ferry back to base etc).
I liked the Quality Inn, Wyndham Garden, and as a last resort the HoJo. I heard they renovated the rooms, so maybe it is better now. All are under $50 out the door. Hope this helps.