I agree that you could dance a East Coast swing to it. You could even dance a West Coast Swing to it. But, if you want a dance step that puts you into a closed frame, then you could go with a Rumba, a fast Rumba at that, but at least you would be close together. If you decide on a Rumba, then I would have someone slow it down a bit.

Ditto the recommendation for a dance studio to help you. Also, they probably have the software to slow down the piece without distortion.