It'd probably work best after a significant changeover in Congress, when there are a lot of freshman reps all dealing with navigating capitol hill. Such a change would be a big power shift from people who have established relationships to people who have fresh ideas.
And the idea is that they'd be using e-mail, videoconference, Google Moderator, or some other electronic means to communicate with their fellow reps. The idea is to build stronger bonds of trust between reps and their constituents than between reps and lobbyist/other reps, so that they actually act like representatives instead of a separate caste.
If those were as effective means of full-spectrum communication as face-to-face meetings, then moving them out of the capital to their districts wouldn't effect lobbyists ability to influence them -- lobbyists can use technology to communicate with members, too.
It's the same reason that Google makes promotion decisions by a committee located on another continent. You want people to judge based on facts and not impressions, so divorce the objective facts from the subjective impressions.