I stopped on my own without AA, but that said, if you live in a small town
don't you think everyone already knows how much wine you drink if you are
spending that much and buying it locally?
In my small town, they sure would.
I also felt pressure to hide the extent of my problem due to work,
and I managed stopping on my own by changing my lifestyle totally.
I replaced drinking with exercise, avoided drinking situations, got all the booze
out of the house, got good food in to eat instead (including ice cream for emergency craving situations which really helps).
If you drink at night, you may need to find some new habits to fill the time like reading, puzzles, crafts, etc. and perhaps
doing some of these things with your kids so they get to know the "real" you and have some fun.
It is wonderful you are facing the problem and ready to do something,
but if you find you cannot handle quitting without face to face support such as AA, I would not let your shame block your recovery.
You can get better, and you will get better if you give quitting everything you have and take whatever steps necessary to stop.