It seems like the last three posts have finally gotten down to the core of your question. You want a light, accurate 10/22. I still don't know your budget, but since a Kidd trigger was mentioned I'll go ahead and chime in.
When chasing accuracy from 10/22s most folks go in the order (0f importance) of:
1. trigger
2. barrel
3. bolt
4. bedding, pillaring, etc.
If a Kidd trigger is in the budget ($200+) absolutely buy one and you wont regret it. There are DIY kits (of highly varying quality- see RFC) and plenty of folks that will do a trigger job for less than $100. If you want a sub 2lb trigger go with Kidd. If you want a very nice 2-3 pound trigger send your pack out for work. If you want a decent 3-5 pound trigger buy a kit ( i.e. power custom).
2 and 3 often get swapped in order because it's ~$50 to get a bolt headspaced, radiused, pinned, and polished. You'll get better cycling reliability, more consistent ignition, and less "flyers".
You'll have to tell us more about your willingness to trade weight for accuracy. The better barrels are (often well) in excess of $150. A cheap, lightweight option would be to get your factory barrel rechambered and crowned (~$50). I doubt the accuracy of the best Clarks, Kidds, VQs, et al would be realized in a gun shot offhand.
Other than choice of barrel none of that has to do with wieght. The standard birch carbine stock isn't very heavy though
.
I don't have anything useful to add about optics other than there are inexpensive alternatives to the lousy rail Ruger provides in the box.