Is this for an actual team or is it for fantasy/entertainment/fictional purposes?
The Turquoise sounds great to me! The New Mexico Turquoise
The proud Dukes name could also do for a comeback - The Albuquerque Dukes
Of your names in the OP only the Outlaws appeals to me. Drillers would make sense for a team in southeastern New Mexico, not Albuquerque.
Roadrunners is good, but Albuquerque already has a football team called the New Mexico Runners.
The Duke City Gladiators is our other existing football team. Both of them are in indoor leagues.
I like that the Gladiators used Duke City in their name, the city's official nickname.
Something unique and interesting like that might be to use Burque or 505 instead of the formal city and state names.
e.g., The Burque Bulldogs or the 505 Roughnecks
A few more:
The Dukes of Burque
Burque Bad (like Breaking Bad)
Burque Bad Boys
Burque Outlaws
Burque Brutes
Burque Brews (for microbreweries)
Burque Brewers
Burque Stingers (scorpions or bees)
505 Rattlers
505 Snakes
505 Tarantulas
505 Roadrunners
505 Wolves
505 Greywolves
505 Black Bears (our state animal)
505 Osos
New Mexico Osos
New Mexico Osos Negros
New Mexico Greywolves (the English version of Lobos)
505 Owls