There is no reason that you can't do it yourself, IF you make the proper tools. Without the proper tools, there is a good chance that: the barrel won't be removed, or, there will be damage to the barrel, receiver or both.
I doubt that the barrel vice shown would work on a really tight barrel, even with powdered resin on the blocks.
I have made a few barrel vices. Current one uses two 1 1/2' square steel bars, several inches long. They are drilled for 7/8" x 14 clamp bolts. The bars were clamped together in a lathe chuck, and a 1 1/2" hole was bored through them, half the hole in each bar. 1 /2" aluminum rounds are cut to 2" long, or so, bored to fit the barrel, then split, to make bushings. Used with powdered resin. Made a couple of action vices, they work the same way as the one pictured. Catch is, you want to hold the receiver ring solidly, unable to shift or move, but without crushing it. Yes, that can be done.
You mention spinning the barrel on a lathe to polish it, so I assume that you could do the machine work required.