Reddit reviews BreathRx Sugar-Free Mints - 60 Count 

You're mostly correct. Yeast can be exacerbated by sugar, alcohol, and anti-bacterials (unless they are also anti-fungals). Most breath mints contain at least one of these.

You might want to try BreathRX. I haven't used it but a little research shows that it has anti-fungal properties which would help fight yeast infections after you've gone downtown.