To Fix the U.S. Congress, Make It Bigger. Much Bigger. (2018)

My brain tells me this would also lower corruption both legal and illegal because the number of representatives that would have to be paid to swing a vote would increase and make it less affordable for corporations to make "totally no strings attached" campaign contributions and other forms of bribery.

But my heart tells me most reps would sell out for a ham sandwich and 6,000 ham sandwiches don't cost that much.

Trying to fix a rather large and mostly dysfunctional parliament, Italy recently tried the opposite solution: it slashed the number of representatives. It did not go well.

This is the easiest partial solution to the very undemocratic Electoral College and more proportional House representation, and it may have side benefits, like fewer committee assignments (allowing in depth knowledge of subject), fewer constituents per Rep, making campaigns less expensive, and maybe making it harder to coerce an unpopular policy into law. You'd have to get way more Reps to vote for it (one way or another).

The Fair Representation Act sounds like a very sensible & effective mod.