Re: 22 LR Dilemma of sorts.
a couple of other suggestions for mildots and knobs and cheap:
BSA 6-24 "tactical" at midway 150.00 (may be a bit too powerful for a kid and close range) but for yours it may be just the thing. i just fondled one, but returned it as i got a killer deal on a sidewinder.
it's pretty clear edge to edge up to 19x then starts getting a little dark, but is still usable. still keeps edge to edge very well. under 19x is surprisingly VERY clear and bright. has side focus, 3" sunshade, 30 mm tube. comes with rings but they are crap get other ones. turrets are really nice knurled and clearly marked. 1/4" adjustment. i'm not a big fan of BSA, but this one at face value seems to be nicer than other BSAs i've had and used up. can't vouch for the repeatability of it.
http://www.midwayusa.com/product/962234?cm_vc=S014
centerpoint 4-16 at walmart 70.00, ill. mildot, AO, 1/4" target adjustment, stays edge to edge clear right up to 16x. i have 2 of these, keeps and returns to zero after 4 years of constant adjusting from 25 to 250 yards. more here:
http://www.centerpointscopes.org/
http://centerpoint.crosman.com/
http://www.crosman.com/optics/scopes
check out leapers too:
http://leapers.com/listproduct.php?mitem=optic&mtrack=m
cheap scopes that have what you are looking for in that price range, airgun rated (which means they are usually build somewhat rigid)
alot of folks do like that tasco mentioned earlier too. i don't have experience with it, but i've never had any tasco go bad on me.
can't say much more about the NCstars, sun optics, firefield, etc that are out there. the cheapie "osprey" scopes are cloudy and not worth the shipping costs. i've used barskas before, they are very hit and miss - you may get one that is clear, the other has a yellow tint to it, etc.
i'd let the kid use the opens and get proficient with them, building the fundamentals and "how things work" before putting as scope on. or get quick detachable rings and utilize both.
nothing wrong with starting a kid off with a simple 3-9x duplex reticle to get familiar with the basics and graduate as the interest grows.
for a kid or an adult beginner, i believe its more important to keep it simple at first, then mess with the more complicated reticles, knobs, and trinkets later when the interest and budget grows.