Here's what I found to do a hand cut and crown. Got this tip off Surplusrifle forum I think.
Plug the muzzle about 1/4in below where you want to cut it so metal doesn't get down the bore.
Hack saw to length. A wrap of tape around the barrel can act as a cutting guide, or get fancy and scribe it. Work around slowly to make a constant depth ring, then cut through. Wipe it clean, with alcohol maybe.
Carefully file the barrel muzzle as flat and square as you can. Wipe clean.
Finish flat muzzle end smooth with 600 grit paper wrapped against a hard backing if you have it. Wipe it clean.
Get a Lee case trimmer and a pilot that fits inside the barrel. Wrap tape around the pilot shaft at a couple of places to shim it evenly, so the pilot is centered and doesn't touch the rifling, and is a press fit down the bore [no wobble]. Grease the taped pilot rod and insert into the bore. Turn the case trimmer against the muzzle which will cut a depression in the end of the muzzle, square to the bore. Use cutting oil if you have it or tap magick. I went about 1/16in deep, by hand. A slow drill might work for you. The muzzle is now square to the bore. Wipe it clean.
Fold a strip of 600 grit around the flat back end of the trimmer shaft and twist it against the depression bottom to smooth it out like face of muzzle earlier. Wipe it clean.
Then hand spin a ball bearing [or with slow drill - a round head brass bolt] coated with valve grinding compound against the sharp muzzle bore rim to make the true crown. Spin evenly, and use a magnifier if you have one to see symmetrical progress. After grinding a slight ring, wipe it clean.
Use another bolt and polished the crown ring with Flitz metal polish or equivalent. Wipe it clean.
When satisfied, push out the plug from the breech and clean up bore and muzzle with alcohol. Touch up blue on muzzle end if you have it. Oil bore and rest of gun. Wipe it clean.
Make sure you wrap the tape around the pilot opposite the teeth on the case trimmer so it doesn't unwind inside the bore when you twist against the muzzle while cutting. Scotch tape worked better than masking. Elec tape was too stretchy and not a consistent thickness.
Seemed easy, cheap and accurate if you relax and take your time. I used a taped .243 pilot to do a .30 cal barrel. It shoots fine.
The thread of the Lee trimmer is 10x24 I think. You could use a long 10/24 machine screw, head removed, for a .22 barrel. Tape shim around the bolt to fit, centered and no wobble as note above.
Maybe took half an hour, including finding all the stuff and putting it together. I did use a padded vise.
Be Well...