Actually, even if mint is an antacid, it's also bad for stomach problems. It relaxes the muscle between your stomach and esophagus that keeps things from coming back up, so it's actually easier to get reflux and nausea.
For me when I get hiccups, I think of the last thing I ate, and what I ate before that, and before that, and so on. It usually works when I get to around two days ago.
Clove oil, on the other hand, is amazing at numbing the pain.