The TownePlace Suites/Fairfield Inn on Interwood Pkway N. (which is a half-block off JFK) are very used to flight crews and have some very good crew rates - I know Mesa has used the TownePlace several times for crews.
The Sheraton on JFK is nicer but more expensive - advantages are that it has an in-house bar and restaurant.
Also a DoubleTree across JFK from the Sheraton. I've stayed at all of these and can vouch for them being decent.
The Red Roof Inn is probably the cheapest of all of them. I haven't stayed there but it doesn't look awful, and it's clustered with the other stuff. There's Shell Station nearby on the same side of the road with a remarkably surprising beer selection.
All of these are walking distance to several decent if unimaginative places to eat, one bar (Hoot County) and super-close to the airport. The Towneplace, Fairfield, Sheraton and DoubleTree all have shuttle service, but I don't know about the Red Roof. Uber is very easy and cheap, too.
Hope this helps.