Travis, I too am interested to hear the different methods to the madness.
I make a floating reamer holder that floats both coaxially and concentrically. It holds the reamer so the operators hands afe free and clear. It is rubber dampened to help prevent chatter. It also has a brass shear pin to prevent reamer breakage if a reamer hangs up. I use the Lambeth/Kiff Micrometer Adjustable Reamer Stop along with a high presure flush system. I want no heat or chips causing problems. This allows for barrel set up in the headstock so the barrel can be held ridgedly and turned with high speed. High speed, light cuts, small chips, extreme pressure coolants, means smooth cutting with little or no chatter.
You should talk with Dave Kiff at PT&G, Dave Manson, at Manson Precision Reamers, and Barrel makers like Tim North at Broughton, Dan Lilja at Lilja Barrels, Mike Rock, at Rock Creek, and Jack Krieger at Krieger barrels. I think you will find a consensus among these folks. Thes folks make the reamers and best barrels available.
I will be interested to see what comes of this post.