For an airport and city the size of Albuquerque, it seems to me that there are lots of parking options.

I use On Time, at the corner of Gibson and Yale. It's $4 per day, plus they have quarterly ($250), semi-annual ($450), and annual ($800) rates. The service is great, people are friendly, and shuttle service is fast. I perceive that my car there is more secure than in front of my home in the city. They raised their prices last year, though, to the $4, so they might not be the cheapest.