We ski almost every other year at Taos and fly in through ABQ. Usually a very late arrival and an early departure with lots of stuff to schlep. We take the hotel shuttle with our gear to the hotel. Spend the night. Pick up the car at the rental center and load the gear from the hotel the next morning. Most of the hotel shuttles will go to the rental car center. For the return, we drop our stuff at the hotel, drop the car, then take the hotel shuttle in the morning. Gets us into the room quickly after arrival, saves a car rental day, and we don't worry about the security of our stuff as it's in the hotel.
We usually stay at either the Homewood Suites, or the Hyatt Place right by the airport. They're fine. Note the Homewood Suites didn't have a bar or alcohol the last time we were there. It does have multiple bedroom suites at reasonable prices. The Hyatt Place 2 bed rooms have doubles, not queens.