Best Price for Birmingham England Airport Hotel?

My wife and I arrive for an overnight layover in Birmingham, England. Our flight from Dublin arrives there Saturday night September 9th at 10pm. We depart the next morning back to the States at 9am.

We’re not planning on going anywhere except to bed. We won’t have a car so the airport hotel must have a shuttle or be within walking distance. Definitely don’t need anything fancy, not very particular, but my wife does want it to be clean.

Any suggestions?