Have you tried Xylitol[1]? I use it to sweet my tea instead of regular sugar. And it should return your mouth ph fast, instead of rinsing with baking soda with doesn't sound nice.
Good luck, teeth problems suck.
http://en.wikipedia.org/wiki/Erythritol
"Erythritol has been certified as tooth-friendly. The sugar alcohol cannot be metabolized by oral bacteria, so does not contribute to tooth decay. Erythritol exhibits some, but not all, of xylitol's tendency to "starve" harmful bacteria. Unlike xylitol, erythritol is actually absorbed into the bloodstream after consumption but before excretion. However, it is not clear at present if the effect of starving harmful bacteria occurs systemically."
"Erythritol More Potent Than Xylitol Against Dental Caries"