Ah, the Ruger 10/22 is the "swiss army knife" of guns. There are a ton of cheap and easy mods you can do for one. It up to you as far as how you want the gun to feel and shoulder. You didn't mention a sling, you could get one of those for it as a start. Maybe a bipod too.
As far as the stabilization module, I'm not quite sure what that is or what it would do. My neighbor has a newer 10/22 and it has a false muzzle brake looking thing on the end of the muzzle, and it's supposed to balance the rifle out better... Is it something like that? Hopefully someone can shed some light on this as I'm interested now.