The following hotels are close to the race courses next weekend.  You can click on the link to access online reservations. 

I've contacted them about discount rates associated with the event... haven't heard back definitively but they'll probably be agreeable if you as nicely.

 

La Quinta: La Quinta Inn Albuquerque Northwest
7439 Pan American Freeway N.E.
Albuquerque, NM 87109
Phone: (505) 345-7500

Holiday Inn Express: Albuquerque - N. Balloon Fiesta Park
5401 Alameda Blvd NE
Albuquerque, NM 87113
Phone: (505) 797-2291

Super 8 Motel Bernalillo
65 East Hwy 550
I-25 Exit 242
Bernalillo, NM  87004
Phone: (505) 771-4700