Degrub's advice matches my own one-time experience. I hope you will make tit to all three (Chaco, Mesa V and Bosque) eventually, but do just one for a short trip.
If you do Chaco, try to take a tour of the main ruins from a park ranger with the unlikely name of Cornucopia. He makes all that is know and unknown about the history come alive.
In any case, I agree with Chaco as first choice. My wife and I stayed at a B'n'B in a town a bit north of there, as close as we could get without camping, and it was quite a drive to get to the entrance gate by opening time.
Eric