Own 6br and 6Dasher rifles personally. For your intended purpose 6br will do everything you want and need!
The 6br will have a little longer throat life, less powder used and the longer neck is nice if handling rounds roughly.
I use a Blackhawk soft bag # 61PW01BK. It’s a double gun so you can fit a tripod on one side, exterior padded pouch works great for spare mags, tool pouch and ammo.
Always was my main problem with the PRS stock system on the RPR’s, every time I installed one on a customers rifle I kept thinking there has to be a fix... trob_205 and I talked about it a few times and finally found a good solution that many people can do with a couple simple tools.