I've been using vinegar rinses once or twice a month for the last 40 years with no drying or damage of any sort. I use whatever vinegar I want to use up - cider, white, rice, etc.
I've never tried baking soda only because I don't have a need for it. Conditioner, gel, honey and vinegar are all I really need to keep my hair happy.

If I was having a reaction like you are, I would give both of them up, do a deep treatment, and then if I wanted to try them again I would do one at a time to see how my hair reacts.
In Western PA
Found NC in 2004. CG since 2-05, going grey since 9-05. 3B with some 3A.
Hair texture-medium/fine, porosity-normal except for the ends which are porous, elasticity-normal.
Suave & VO5 cond, LA Looks Sport Gel, oils, honey, vinegar.
http://public.fotki.com/jeepcurlygurl/ password jeepy **updated Feb 2014**
https://www.facebook.com/lifetheuniverseandtodd