Hi Wigglefish,
ABQ has a (surprisingly?) large and active homeschooling community.
Here's the main resource that homeschoolers use to coordinate with each other:
Albuquerque Homeschooling: Resources for New Mexico Homeschoolers
I think that one reason why the community is so vibrant is that the public education system in New Mexico is shockingly poor. By almost any outcome measure, the state regularly features in the bottom decile of the distribution.
In addition, the city has one of the highest ratios in the nation of PhD's per capita. These are knowledge workers at Sandia National Labs, UNM, etc who (1) value education, (2) typically cannot afford private schools, and (3) are dismayed by the quality of the public schools. Under this set of circumstances the DIY option becomes increasingly attractive.
Some activities that my homeschooled kids have been involved with include:
1. Bosque Ecosystem Monitoring Program
2. UNM music program
3. Explora Museum
4. Museum of Natural History
5. Taekwondo
6. Swimming lessons provided by the city
7. The Challenger Learning Center
Best wishes!