Ive done about 12 10-22 buildups and here is what has worked for me.
Power custom receiver mount 14.95 at brownells.com,you could get the Volquartsen one for 30.00 but they are just about the same.
As far as rings go i buy Weaver Sure-grip rings and they hold up just fine.
This is going to sound crazy but most of my 10-22s wear Simmons White Tail Classics 6.5-20x50 scopes. SWFA used to sell them for about 100 bucks. Good scopes for the money, but I dont know how they would hold up to a high power cartrige. They also have parallacs ajustment down to 30 feet. Ive also got a few Weaver V-24 scopes and they are great scopes but at around 300 bucks they should be.
Last but not least, barels. I currently have, White Face Mountain, Green Mountain, Magnum Research, Cleark, Whistle pig, Volquartsen and a ruger hammer forged ss t. My favorate one is the magnum lite, it will shoot 1/2 inch 5 shot groups at 50 yards all day if i do my part. That is off sandbags with Federal gold medal, wolf and winchester dyna points.
The Green mountain barels i have are a close second, they also shoot around 1/2 to 3/4 inch quite regularly. And for the money they kick ass. My Whistle pig shoots under an inch at 50 so im not too happy with it, i think is still needs to be fine tuned or broken in.
If you decide to go the Green Mountain rought call ken at 603-284-7191. Usualy i get my barel in 3 to 4 days, probably even before he gets my check.
Dont forget to drop in a VQ hammer, the triger pull will be around 3 pounds, the best 35 bucks you can spend on a 10-22.
Hope this helps