RE: 2003 Patriot drop away
When I bought my 2003 Patriot, I immediately put my Trophy Ridge Drop Zone on it, served into the cable as per the instructions, and I have never any problems of any kind. I know some people have reported problems with the old DZs (like mine), but I haven't had any, and it's quiet as mouse in a church. Cheaper than the other rests mentioned here, too.
As for quieting your WB, switching to feathers would help. Of course, the WB will eat those feathers pretty quick though. I think a drop away is definitely the way to go.