The Baseballs do old time rock covers of many popular songs. Most of there stuff turns out to be quickstep or swing/jive (perhaps with a little tempo tweaking) but they've got a few foxtrots as well. Notably: Don't Cha (wish you're girlfriend...) - Album: Strike! Back! California Gurls - Album: Strings N' Stripes Also, there's a foxtrot version of Sweet Dreams (are made of this) from the album Ballroom Nights 2.
Emphasis on clean. I've known the Glee version for a very long time now, and I only heard the original a few days ago. Imagine my surprise before the song had played very far.