What brand R&P gears to use for a rebuild?

Since I'm sort of in the business, let me tell you this; most R&P gears on the market today, regardless of what it says on the box come from 1 or 2 overseas sources and are re-packaged once they get here. Generally the quality control is pretty good, not like it was about 10 years ago. The key to quiet, long-lasting gears is the set-up and quality of the (Timken) bearings used. Gear set-up is one area where the skill of the technician makes all the difference in the world.
Any one of the above mentioned vendors can meet your needs.
I know that Randy's Ring& Pinion (Yukon) has decent customer service and knowledgeable sales people.
......no, I don't work for them.

x2 on everything... especially the bearings and proper break in procedures.
I used to work at a 4wd shop and did a ton of gear work. Now I use DrDiff - Cass Eslick - for my stuff both for price and customer service. Historically I've found Strange to be the strongest and best in terms of quality. I've personally used Strange, plus Yukon, Precision, Richmond, and Motive. None were loud, but a couple were harder than others to get the perfect pattern with. Gears are not the easiest to get right regardless of what some say and you have to have the right tools and patience.