Hi David B...
I live in Alabama and play these courses from time to time. I have played two of them in the past six weeks.
The deal you mentioned is a really good value. And yes the courses are owned by the Retirement System of Alabama (RSA) which invests in a lot of real estate developments, TV stations, airlines and other strange stuff. To the best of my knowledge however, the courses are operated under a contract by a private company though. I played at the Ridge Course at Oxmoor Valley in Birmingham on July 4th (obviously a holiday for state employees) and the course was open...
These are tough courses and the weather is hot in the summer. As you can see from this chart..
http://www.rtjgolf.com/trail/greenfees.htm
the greens fees go up and down through the four seasons. Down in the summer and winter and up in the fall and spring when the weather is nice.
If heat doesn't bother you, I would recommend coming down to play. The courses are first class, the service is excellent (drive up to the bag drop and they are out to your car in seconds to get your clubs) and the club houses are beautiful. Bring your A game as the courses are tough and visually intimidating from most tees...I was very very pleased to shoot an 82 on the Oxmoor Valley Ridge course July 4th...
I see that you live in California. The best way to get here is by Southwest Airlines...