There is no public transportation, but the entire downtown district is very walkable. That would include all 10 lodging options that offer hot mineral baths, plus the shopping/gallery district, plus 7 places to dine, at least 2 of which would be open for each meal of the day. There is taxi service for getting around town and from T or C to Elephant Butte and back. You can also rent a car ahead of time from Whitehead Auto for a day or two of exploration, and spend the rest of the time exploring the art of doing almost nothing--soaks in different bath houses, walks to the galleries or the river, getting a massage.
