You wont get it for that price but you can get one for a bit over double that. I have a 10/22 with a 17.5" Green Mountain heavy fluted muzzle weighted barrel ($175), cheap 3x12 50mm scope off of e-bay ($56)(different one than pictured below), Fajen adjustable stock ($102), and a trigger group I did myself for ($30).
Regular ammo is pretty good depending on what you use but with match ammo I can (and have) hit 10 out of 10 spent 22 casings at 50 yards. That's laid on their sides aiming at the butt of the casing. My 11 year old can put 20 shots into a dime size cirlcle at 50 yards is I sit at his side and keep reminding him to breath out. It's what I take squirrel hunting with match ammo and I've yet to take anything but and miss a head shot.
Still a bit over $250 but it is very doable for under $600