When I was looking to buy in ABQ a couple of years ago, I also insisted on a home that was pre-flip. I definitely got that...
in abundance. Unupdated to the point of irony...like the way a genie grants you wishes but the result is always a little skewed.
For me, the best thing to do is make the acquaintance of a realtor and tell them what you are looking for. Realtors have amazing networks, and if you're their client, the instant a home comes on the market that they think you will like, they'll send you the info. In anther state, I bought a house in a much desired neighborhood within 4 hours of it being listed on the MLS, because I was having lunch with a friend who is a realtor, and casually mentioned what I wished I could find. If you have a realtor, you have their network.
Wanting non-updated can even be an advantage...IME sometimes an original owner would much prefer the home go to someone who wants to live in the home, and not just flip it.
Best of luck with your search!