You might try calling your local substance abuse treatment faciality. Oftentimes they hold group sessions that can act as a support group. Sometimes they use the 12-steps as a guideline, but oftentimes not. You can also try contacting some local substance abuse theripists and ask if they host groups or not. Both of these options come at some cost, though not usually more than 10 or 20 bucks a session.
There are also a number of online options such as
SMART RecoveryŽ|Self Help for Alcoholism Drug & Other Addiction and
LifeRing Home Page. I don't think either has any face to face presence in your area, but sometimes even the online contact can be helpful.
A final option is to attend AA primarily for the support. There is not a requirement to "work the program", just a desire to stop drinking. Given time you may end up changing your mind and want to give the steps a shot. Worst case you get to spend some time with some sober folks who generally are very kind and caring. Hope this helps. Take care.