That’s the exact solution for the state problem. And it needs to carry over to national elections by awarding one vote per county or other legal entity as far as the state’s electoral votes are assigned. Gives less dense population areas a say, too. It’s only fair! And so on...
Yes. Voting districts, be they counties, parishes, or wards, should be allotted one elector. Elections should not be determined by a simple democratic mob plurality.