I am with Plinker but I'll add a twist, the new 16.5" sporter barrels, shoot real sweet, and cut a few ounces, and match up equally well with the sporter stocks. Ken at Whiteface Mountain has them right now for $99.00 shipped. Easy to come in at 6.5 lbs.
I have a couple more that are interesting, one is the discontinued stainless 22" Whiteface Mountain Sporter barrel, hogue standard barrel channel stock, and a Swift 4-12 scope. Wieghs in at 7.3 lbs.
Next is a Corelite stock, alumnalite barrel, and a 2-10 Weaver V10 that has had the paralax reset to 50 yards, I used the lite weight vertical split aluminum rings. This little setup is just a hair over 6 lbs.
Look at Whistle Pig aluminum tension barrels also, HawkTeck has them, they are rated lighter than my Alumna Lite barrel, and said to shooot real well. Also Volqartsen and Magnum Research have a graphite tension barrel, that will make a sweet light weight 10/22. Be carefull with the Butler Creek graphite barrel, they don't have a great reputation for shooting.
saddlemaker this 1022 is very unconventional but is a VERY lightweight extremely accurate walking hunter.It weighs less than 5 lbs.You could mount various scopes standard style instead of "scout" style. This 1022 has a modified factory laminated stock,a VQ hammer( trigger pull ~1lb 13 oz.when dry lubed up),home done auto bolt release,home done mag release,all the RFC tips n tricks that apply,a VQ carbonfiber tensioned barrel and a 2 1/2x7X pistol scope mounted "scout"style on a reverse mounted VQ cantilever mount.Talk about quick to shoulder and being able to see and hit a running rabbit.