Dang, stinks that this one went unnoticed for so long! I suppose a player in that oversight, at least in part, is the fact there just aren’t many folks doing what you’re describing: A) not many folks shooting the 22WMR RPRR, B) not many folks shooting rimfires to 200yrds.
I can’t speak towards the 22WMR RPRR, specifically, but I have shot quite a bit with the RPRR in 22LR, and have been considering one in 17 HMR. I’ve also done a lot of long-for-rimfire shooting, including 22WMR.
The 22WMR isn’t typically a popular choice for 200yrd shooting, largely due to the challenges most guys find with lacking precision for the rounds on the market. Finding a sub-MOA 22WMR often feels like seeking a needle in a haystack, whereas accurate 22LR’s, or 17HMR’s seem to be plentiful. My own experience supports this trend, such I have little interest for 22WMR’s any longer, favoring 17 HMR and 17WSM for longer range, or larger game shooting than a 22LR can handle. Ammunition seems to typically be the issue, even for well built rifles. So I would think hard about the choice to pick a 22WMR.
Setting up a 22LR or 22WMR to shoot at 200yrds is pretty easy. You’re not yet at a range where most scopes will run out of elevation. If you start shooting 300+ with your son and his 10/22, he’ll most likely need an angled base or Burris Signature Zee rings with angled inserts, but for 200, just dial and shoot. There’s not much really happening at 200 yards yet. You’ll have to read wind a bit, but on a calm-ish day, it’s just a matter of dialing about 6” (3moa, 12 clicks) and sending rounds onto target.
Give yourself plenty of target, especially if you don’t give yourself much magnification. I do most of my 300 yard 22LR shooting with 18x scopes, or 24x. Many rifles could be capable of shooting golfballs at 200 yards (~1moa), but not many folks set up rifles to do so, and group sized targets don’t give a lot of feedback for misses. At 200, I shoot a lot on a 4” round plate hanging on a gardeners shepherd hook. If you shoot smaller targets, extra magnification is nice. Any old 3-9x scope with good tracking will get the job done if you’re using large targets with good aiming references. Find a load your rifle likes, and buy a lot of it. Get on a bench, or prone, with a good rear bag and a bipod out front, or better still, a machine rest, and life is pretty simple.