Which Current Governors will run for the Senate?

[Verily]

Arnold Schwartzenegger: possibly in 2010 against Boxer

Bill Richardson: Possilby against Dominici

Janet Napalitano: possibly against McCain in 2010, or for an open seat if McCain retires.

Katheline Selbius: ?

Mike Hukabee: ?

Jeb Bush: missed best oppurtunity against Bill Nelson

Tim Palewnty: 2012

None of them. Napolitano is one I would consider possible once McCain retires or if Kyl looks vulnerable in 2012. Schwarzenegger will consider it but eventually decide he'd rather not challenge Boxer in 2010. Huckabee and Bush are not current governors, and neither would defeat the Democrats in their states.

[Verily]

Gov. Tim Kaine would run in 2014 if the GOP keeps Senator Warner's senate seat (i.e. Mark Warner decides not to run).

I think it more likely that Kaine will run in 2008 for Senate, leaving a stand-in until Mark Warner can run for governor again in 2009.