I've been pretty happy with the Dura faucets in our rig. No plastic, all metal and very well made. I replaced the ball parts in one of our vanity faucets, which I think was leaking due to some grit that got in when we didn't have a filter connected. The parts looked exactly like those from a Delta faucet. We full time and all the faucets have held up very well. Parts are available directly from Dura, http://www.durafaucet.com/
The little plastic plug, which is red and blue, will come out using a sharp edged tool like a knife, and then you will find the set screw to remove the handle. Possibly, a little plumbers grease will cure the squeaky handle.