Here in Santa Fe, I highly recommend my community of Eldorado, if you don't mind living 20 minutes outside of the city. Living away from the city DOES have it's advantages, if they appeal to you - more wide open spaces, great views in all directions, night sky that is fabulous for looking at the stars, quiet. There are many residents in your age category, and the prices fall within your requirements. The lots are large, the homes are wonderful, there are lots of amenities out here and it definitely qualifies as a "nice" neighborhood.
You can search the forum and find lots of posts/threads about Eldorado.
Eldorado information page at City-Data.com
I can answer specific questions.
A trip to New Mexico is definitely the best thing for you. ABQ and Santa Fe are quite different and you will need to see which one appeals to you the most. And as I have learned, New Mexico is not for everyone, and you will need to know if it works for you before you make a decision to move here.
As far as hotels, when we were visiting Santa Fe and house-hunting, etc. we usually stayed at the Best Western on Cerrillos -- the location was convenient to everything, and we had no intention of paying the highly-inflated hotel prices of the downtown hotels.
Good luck in your research!