Except that senators were not popularly elected, but elected by the state legislature (so corruption was easier). Sending the governors themselves to DC would shift powers back to the state (a good thing, imo), but governors wouldn't have much time left for governance.

I think we could improve upon on current system by adding a vice-governor to the governor's ticket, and subjecting the ticket to the popular vote. Then the governor could send the vice-governor, his popularly elected subordinate, to Congress, which would help shift power back to the states. As it currently stands, senators do not feel a need to pay heed to their states' governors.