I rasped/filed/sanded down the square part of the stock that was left. I started with a bench plane, and got a bowl full of nice wide chips. I need to make a shim with these under the rear band, as there wasn't enough material there after fitting the band to the barrel. I was going to try soaking them in water to get them pliable, then laminate them together with wood glue, cut to shape, and wrap around the underside of where the band goes. Hold it in place with a rubber band and let it dry, then blend it all in with a file. Won't see it under the bottom of the band.
Another tough decision...grasping grooves. The maker left an index mark where they start/stop. I can sand those out and leave it without, or I can lay it out using the index mark, then either a spoon chisel and do it by hand, or I think a 5/8 box cove bit would get it close enough as long as I could keep it straight. I'm leaning doing it them by hand. but need to build a cradle first.