I don't know if it's just a New England thing, but we have contra dancing around here. It's got a lot of the same moves as square dancing so if you know one the other should be easy to pick up.
Lots of contact and if you attend you may even see some New Englanders touch each other!!!
I've gone one step further and taken up Tango. After a while, my two left feet are starting to work well enough.
