When I was a few weeks into vaping, I got pretty sick. I started with some minor sinus irritation (not terrible, just nasty, achy sinuses), then I got a staph infection. I felt like I was on my death bed. I was vaping 18mg nic at the time, and ordered some 12mg nic menthol juice. And oh, what a difference it made. The menthol vapor soothed my sinuses so quickly. A french inhale, or exhale through my nose felt SO good. And like Sean above me said, menthol (from a cough drop, in his case) feels good.
I believe you'll find menthol more soothing than a mint (peppermint or spearmint), and way more soothing than a tobacco or alcohol flavor.
Good luck and feel better soon!!