Start a truly new party, something different enough to actually catch people's imagination. Perhaps a direct-democracy party with serious penalties for candidates that don't do as their constituency tells them.
I gave this some thought a few years ago. I could build a simple application that would allow constituents to vote on any random congressional bill. I would then use this as my primary campaign strategy. "Don't vote for me, vote for you." I would vow to vote the way my constituents wanted me to. Pretty damn simple, really.
I started to think further, and that it's kind of a problem I don't have the perfect political background. People would dig up dirt on me and that's not too fun. Then I thought, why would it matter? They're not voting for me, they're voting for themselves!
I think there are definitely some congressional districts that would like this type of approach, but probably not many. I think it would be an interesting thing to do, though, simply for the potential advancements to democracy thanks to the digital age. Hell, the number of signatures needed to run is not really that many. Maybe I'll do it, but probably better for someone with more financial freedom than myself to give it a shot.