Hmmm. A typical faucet runs at a little over two gallons per minute, so it's taking five to ten gallons of water to flush out your system at every use. I think that's pretty bad, and it's also wasteful.
I wouldn't drink that water on a cash bet, even after it clears up. I don't know what kind of rent you're paying, or how attached you are to this place, but if you're really thinking of staying there, then, at the very least, I'd wait for the water to "clear," fill up a small jar with it, and take it for testing. Maybe call Enviro-Chem and see if they'd test it.