Considering that you are wanting to drive a few hours and then stop for the night, is Little America. You're just staying for the night so don't need attractions and what not.
If you want to drive a little further before stopping, Rock Springs, Green River and Rawlins have plenty of motels to choose from. So there are several options spaced out with a variety of places to stay.
If you just want to get there then I-80 is the way to go. It's an easier and faster drive.
If you want a slower, more scenic drive then I-70 is an option. There are several interesting places to stop, depending on how far you want to drive before stopping for the night.