Yes! They do list a few of the local tournaments here - although there are certainly a lot more. I know of at least two cities nearby that have Am Championships that aren't on that list.
I've said it before, but my next "big" goal is to be able to play in those state (or even just southern state) qualifiers. Just glancing through a few of them and it looks like the State Am requires an index below 4.4. I think the State Mid-Am is 5.4. Once (if) I'm comfortably beneath that ceiling, I'd really like to try to qualify for those tournaments.
Good call. I have a "Players card" at Talega, and now that you mention it, I'm almost positive that it gives me access to all of their member tournaments. I just have to run down there and find the schedule.