I take .200" cuts till the end of pre-bore. Then .020" - .040" for a couple of cuts. I am then withing about .010" of final headspace. Last few cuts are .005" each. This results in a very clean chamber finish that doesn't need any polishing, but I hit it still with a wooden dowel wrapped with either some worn 320 or 400 paper with WD-40 for that cross hatch pattern because I'm weird like that. Only a couple hundred RPM's and about 5 seconds is all it takes.
In between all passes the reamer is cleaned thoroughly, then submerged in cutting fluid (vipers venom cut with Moly-Dee) and a shot of cutting fluid is squirted up into the chamber area. Never any problems with chip weld.
I really don't think using a flush system is much faster in total time than my method and I know from seeing just about everybody's work that has come through the shop that the finish is no better than what I am getting. From the time I step up to the lathe with the blank, install, dial in and totally finished is around 2 hours. I am sure that could be cut down if one had a lathe that could be left totally set up for barrel work with a flush system at all times, but that is not my case.