Hmm, I think we should be playing to our strengths.
We have a good amount of social skills and social force powers. We could attempt to land nearby, attracting as little attention as possible (Might not be incredibly difficult as the whole world is in pretty much chaos.) and try talking our way onto the ships and freeing the senators. We can use our authority as Jedi in this way, especially with the normal guard-people. the whole "We are jedi, we need to go deal with the senators"
That might not get us shot...