As I was reading your post, I was thinking New Mexico meets most if not all of your wish list. Taos is great but it’s a small town so you don’t have as many vet/farrier options and you are a long way from surgery centers, about 2 1/2 hours and much farther if you want a vet school quality referral center. There are more quality vet and farrier options around Santa Fe and Albuquerque.
There are some areas outside Albuquerque might also interest you - are you familiar with Placitas, or the towns in the East Mountains?
Of course there is crime here but honestly I don’t think it’s that bad outside of some areas that it’s best to avoid. I have two friends that live outside of town that almost never lock their houses. That’s literally, not figuratively.
Feel free to pm me if you want. I lived in Taos for a couple of years and have been in Abq for 15 years now. NM isn’t perfect but it has a lot of good qualities!