If it were me, I'd probably take 3 samples (well water, tank water and tap water), and set them in a container (preferably closed), and let them stand for a while (24--48 hours), completely undisturbed if possible.
I'm thinking that you have something physical in suspension (e.g., dust, not bacteria or plants) and if so, you should be able to tell if it settles to the bottom or not from the 3 samples. If it settles, you might be able to solve the problem with mechanical filtration (sub 40 micron); if it doesn't a UV unit might resolve the issue.
Of course, it might be metals or some chemical that won't settle and neither of those solutions are likely to have much effect.
And, yes the nitrates are too high. Well water in regions that consume a lot of fertilizer might be prone to high nitrates, (and Medina, Ohio, looks like it has a lot of farms.) I would test the nitrate levels, although I wonder if the nitrate levels vary considerably from season to season. It still would be nice to know if the water you are adding is extremely high. If not, do more and larger WC; if yes, other solutions as mentioned by others.