Hello and welcome Bearcat,
Im glad to read that you have a doctors appointment. I think having your blood drawn is a really good step in getting healthy and sober. I hope that you can be honest with your doctor and let them know you are struggling with alcoholism.
He/she may have some information for you on local detox centers or rehabilitation programs. About your concerns with rehab you can check yourself out if you feel that is not a healthy environment. Also, not everyone benefits from AA, perhaps look into AVRT or even lifering. I think it may be a good idea for you try some sort of group setting as it will get you out of the house where you can meet new people.
Every AA meeting I have ever been to, I have been met with nothing but kindness and warmth. I think what really makes these types of meetings so effective is that it helps you build a support system.
Good luck and keep posting.