Based on what we think your plans are, from the little bit of info shared here; I would say stay in Santa Fe and do day trips to the various sites you want to visit in the area. You have too much to see and too few days to be relocating.
My 2 favorite full service campgrounds in Santa Fe are Desert Skies and Trailer Ranch RV Parks. Both are around $40 per night, before any discounts. Desert Skies is across I-25 just south of Santa Fe. Trailer Ranch is closer to town, just off one of the main roads, so it does get some road noise, mostly during daytime when you'll be out touring. Trailer Ranch is an adult only park, no one under 21 allowed. Its associated with a 55+ trailer park community next door, under the same owners.