If your measure is the extremes of both the left and the right? Then no. Since both sides see things in exactly opposite views. I.e. Either Fox news is Republican Propaganda and everything else is legit, or vis-versa.

Generally speaking? Yes, a majority of people will view their local news channels as fairly reputable. And, generally speaking yes, because some places do their best too achieve non-partisan reporting. I'd quote you examples, but anything I give is gonna have people coming out of the wood-work claiming bias in one direction or another. Not because a majority thinks so, but again because the extremes on either side are gonna see anything that isn't spun in the political direction they want as left/right-wing propaganda.