Depending on how severe the winter is and how willing you are to ride in the cold you might have a 6 month riding season. However, the roads are worth it!
You'll want to do the Enchanted Circle (US64 east from Taos to Angel Fire, Eagles Nest, Red River, Questa, and back to Taos), US Hill (SR518 - you can take it to either SR38 or 442 [I think 38 was the better road but can't recall] to Black Lake then to Angel Fire and back on US 64 to Taos), The High Road (through Penasco, Chamisal, Las Trampas, Truchas, Rio Chiquito, Chimayo, Santa Cruz, and Espanola), Los Brazos Pass (US64 west from Taos to Tres Piedras and Tierra Amarilla), and of course SR150 to Taos Ski Valley.
Northern New Mexico has got some of the best riding around. And it's not far from some of the best riding Colorado has to offer either. Even though you only have half the year to ride if you've got the time you can ride the wheels off your bike on those roads. There are many other great rides that I didn't mention these were just some of my favorites.
I think they are still doing track days at Sandia in Albuquerque and Arroyo Seco in Deming is a good place for them as well.