You might be better off using a new aftermarket stock that already has a .920" barrel channel; a 10/22 bull is traditionally a straight profile and much larger diameter than the OE barrel.
If this is not an option, you will have to do some woodwork; probably best to cut off the end where the horrid (not to mention ugly) barrel band sits, and then sand, sand, sand.
If you have a synthetic carbine (black plastic) stock, time to go shopping for that new aftermarket stock.
Dlask has also made some tapered (close to factory taper) and some SR22 barrels that require much less sanding and fitting work, but these are pretty rare.
I have opened up the barrel channels to full-float bull barrels on a couple factory 10/22 stocks, and found the most consistent, cheapest way was with (at least) 2 good lengths of ready rod increasing in diameter, wrapped in long pieces of coarse sandpaper, with a little hand finishing in a finer paper. Keep going until you can slide a sheet of paper (or a bill!) cleanly between the stock and barrel with the action installed. If you cut the barrel band end off, also count on doing some refinishing / restaining. Not difficult work, just time consuming.
I am sure a proper woodworking shop could machine this out in no time flat, but at a cost that makes a replacement stock more attractive ...
The barrel should attach to the receiver just fine with the v-block, with possibly some minor fitting as noted above. A little blue Loctite and a torque screwdriver are also invaluable when doing this swap.
While you have the action out, there is something to be said for installing an upgraded extractor at the very least, and maybe some trigger work like new springs, or a little polishing.
