The Ruger Gen 2 would probably be the better solution for an 11 year old because of the spacer than can be removed from the stock to shorten LOP.
However, a Tikka compact would be nicer if you can increase the budget.
You can get a Ruger in 6mm ARC, have you thought about that? Less recoil and totally effective for the range an 11 year old will be shooting (for most hunters actually). Has cheaper practice ammo too. A 16” with a compact suppressor would be a great set up for a new shooter, no blast or recoil to fear.