Savage makes a 22 with peep sites called the Rascal that has a way better trigger than a Chipmunk. Was definitely in the running when I purchased a 22 for my 2 children last year.
They shoot air rifles in 4H and at home so we have had a decent amount of training. So I ended up last year buying a semi-auto Marlin 795, I believe it is. Installed peeps and it is a whale of a shooter. Then I purchased a S&W AR 15/22 with peeps for them with the idea that we will all be going to an Appleseed shoot together soon. The 15/22 is nice with an expandable stock so the kids or adults can make good use of the rifle and they are both real shooters.
I agree a semi is not ideal, but I had started them on air rifles and then some bolt action 17s prior to going this route. Not saying it's right or wrong, just what we did. YMMV.
