Wow, so this is a pretty hard sell, and I actually enjoy running. I'm a weirdo though and running is all about timing. I cannot run too early in the morning because I have to have had a good "movement" first and I don't enjoy running after I've eaten anything remotely heavy. Part of the hangover cure for me is often eating something greasy to "coat my stomach" and cure the nausea. This tends to be something that will not lend itself to me feeling like "running" after I eat it. Also, thanks for the podcast shout-out.A good hard swim may be its equal, although in my experience, the benefits are achieved more slowly, as it is typically a less intense exercise. It may just be too easy to move in water. Then again, maybe that’s what your predisposition wants today.
I'm not a swimmer, but I would guess that this may be the ideal exercise when hung over, especially if the water is cold enough to shock your senses in to believing that you are indeed in the right physical state for exercise.