I think she's just gotta be stupid with narcissism (or syphilitic, who knows?). What could the Dems offer? Suppose it's an ambassadorship. First she's gonna have a tough time getting Senate approval, after having turned against her caucus, and the new Republican President (assuming not a pro-establishment moderate like Romney) will toss her out on her ass after 2012.
Instead she could have remained loyal to the party and been a top contender for Mark Begich's Senate seat in 2014.
Obastard has bypassed the Senate and appointed dozens and dozens of people.