How about this:
The Senate goes away. We elect House reps, and then we hold a giant raffle where each rep has his name on a ping-pong ball. A girl in a bikini selects, one-by-one, 50 ping-pong balls from a giant spinning thingy. Those 50 persons are now nuSenators, rather than House reps. The whole thing is broadcast live. It's must-see tv.
Also, all reps/senators are elected for 4 years terms, in sync with the general election. We pay them like $500,000/year and/or figure out how to actually jigger with financial corruption. Each rep/senator cannot serve for more than 1 consecutive term. But they can sit out 1 4 year cycle and try again the next time.