I can accept that. So, let's figure out a way to correct the problem.
The idea behind the appointed Senators was to defent the interests of their state. How about the Senate set become a political appointment of each state governor. It could be similar to a cabinet position. He reports to the governor and serves at the will of the governor. Governors are already high-profile positions. Increasing his/her responsibility would not make the position more political.
That would effectively give the governor a dictatorial/monarchical power, regarding the appointment of Senators. I would prefer that the legislatures do it, provided that we’ve broomed them a few times first.