Congress as Jury Duty?

In light of Nick Gillespie's piece at Reason, I offer a modest proposal for the 28th Amendment to the Constitution:

Section I. The seventeenth article of amendment to the Constitution of the United States is hereby repealed.
Section II. Three Candidates for election to Representative in each district shall be chosen by the same process defined by the laws of the various states to choose potential members of juries. Elections for Representative in each district shall include only these three Candidates.
Section III. Candidates shall be allowed one month prior to the election to make their qualifications known, provided a monetary allowance equal to one month of Congressional pay with which to achieve this aim, and an additional like amount as a living allowance during the campaign period. Campaign funds shall be accounted for to the Treasury and unused funds returned. Only funds provided under this Article may be used for this purpose. Unused living allowance funds shall be retained by the Candidates as an honorarium.
Section IV. Representatives shall serve for one term only.

Note that this would return the States to their intended place as participants in the Federal government via the Senate. The people would continue to choose the most qualified of the candidates, but the harmful effects of faction rightfully feared by the founders would be minimized if not eliminated outright. Fixed public funding would reduce opportunities for outside influence and encourage frugality in our Representatives.

Since most of us think we could do a better job of running the country than our current Congress, let's take charge!