Puye Cliffs is a very nice hidden gem and is very close to Los Alamos which is very close to Santa Fe. These are Native American built into cliffs and also on top of the cliffs.
I had seen this before but was not able to on top of the cliffs to view the bigger town. Great fun and especially with a terrific tour guide.
Images for you:
The way it is situated (the village is on top of the cliff):
It is a wonderful place to spend the morning. The views of the Rio Grande Valley from op top of the cliffs are amazing. I saw it when a rain storm came in and that was very cool as well.
Enjoy.