I just had a great day at the range with the Remington, and I wanted post a quick update.
I ended up going for the Remington for many of the reasons already discussed, but it was a tough decision. I was able to put 5 shots in a 4.5" group at 100 yards from a seated supported position. And another 3 shots in a 6" group after making a final sight adjustment. This was after walking the target out from 25yds, to 50yds, then finally 100yds, as suggested by Hoodoo Brown.
With my last four rounds, I made an 11" group from a standing unsupported position, which I assume will be the most common position in a BAMM. I have no idea how good or bad this is, but it sure was fun to shoot.
Thanks again for the advice, and big thanks to Hoodoo Brown for outfitting me with ammo. I can't wait to compete in my first BAMM at the Texas WBAS Championship!
Edit: After doing some research, it looks like my groups weren't great, but I may not have cleaned the copper fouling out well enough. I've also not done very much precise shooting, so I think I have some learning to do. I'm confident it's more me than anything else ;D