From downtown the 108 will take you to Terribles where you can take the Flamingo bus to the strip. If you don't mind a walk down Flamingo to the strip, you can stop at Tuscany, or at Ellis Island to use up matchplays or grab some lunch (cheap steak and garlic beans)
Staying on the 108 beyond Flamingo will take you to the Hard Rock. I often go there, use up matchplays, check out all the guitars, and then walk the short distance back to Terribles for a cheap breakfast.
You can also take the 202 Flamingo bus to the strip or stay on to the Palms or the Gold Coast or Rio.
I have also caught the bus back downtown, but not late at night. We can catch the trip back downtown at Flamingo and Sweeney. It runs on different Flamingo intersections because it runs one way.