I would highly recommend skipping Albuquerque (big, sprawling city) and substituting Santa Fe with lots of unique history.
For a Georgia O'Keeffe experience you need to stay where she lived - in Abiquiu on Hwy 84. Stay at a wonderful Corp of Engineers park (1/2 off if you have a senior national park pass). There are 15 reservable electric sites and there's a dump station. There's no sewer connection but for 1 or 2 nights you could surely do without one. It in a beautiful area.
For Santa Fe, Santa Fe Skies is the place.
For Taos, Taos Monte Bello RV is good.
In my opinion, staying in one place and touring the others is a lot of unnecessary long driving. It's best to move. June will be a great time to visit. We were at all three areas this past June.
Sounds like a nice trip for mom. Enjoy!