Romancing Rachel Uchitel - Coming to TV

There's a story out there that Tiger Woods' Mistress #1 -- Rachel Uchitel -- is hitting a Vegas dance studio so she can be on the next installment of "Dancing with the Stars" ... but TMZ has learned Rachel has become far more entrepreneurial and is pitching her very own reality show.

Sources tell TMZ Rachel, along with two producers and an agent, have gone to 4 different cable networks, pitching a show called "Romancing Rachel." We're told the premise is that Rachel has a hard time meeting guys, given what's been going on with her. The pitch -- watch Rachel try to find true love ... with single guys.

We're told Rachel was in L.A. earlier this month and pitched the show -- along with her producing entourage -- to E!, VH1, Oxygen and Lifetime. We're told Lifetime and E! have passed, but VH1 and Oxygen are still in play.

As for Rachel's entourage -- one of the producers is Scott Jeffress, who produced "Jersey Shore," "The Bachelor" and a bunch of other shows.

As for "DWTS" ... we're told Rachel isn't taking dance lessons to get on the show. She just wants a new hobby.