Thanks everyone for some great advice and thoughts (both in this thread and in the "hands slipping forward" thread). I am going to be studying these things and really thinking about things while at the range.
Let's say for the moment that I'm willing to accept a pretty firm grip on the firearm from a purely hand strength standpoint. How do people feel about the elbows, shoulder, and so forth? I've seen and read and observed a lot of different techniques, including more locked or less locked arms, more or less tension in the arms (discounting the hand grip, specifically), back, and rest of the body, with more or less forward lean.
While everyone seems to get great results with different approaches, it's not clear to me what the trade-offs are between all of these things. For example, some argue that having a stiffer body helps to drive the recoil into the ground and keep the gun steadier through recoil, while others argue that having loose arms and bent elbows helps to better absorb the recoil and return to point of aim more consistently, &c.
Thoughts? I am still interested in finding the minimal amount of tension I can get away with, and I'll be happy if I can find a way to manage recoil effectively where only say, my hands have to hold the gun tightly, but the rest of my body can be relaxed, or something like that. Anything to help reduce overall tension would be a plus provided I can get good results with it.