This SIG SAUER Romeo-MSR Red Dot Sight and Juliet5 Micro Magnifier Combo would work fine with your Ranger 22 but would only provide a maximum of 5x magnification and a single 2 MOA red dot. If you do not want to have a crosshair reticle, then I see no issues with using this combo. However, having a crosshair reticle will provide holdover and windage calls/holds that can be helpful when shooting at a distance. On top of that, rimfire scope have etched reticles meaning you don't need to rely on a battery to be able to see your reticle. I would recommend the Leupold FX-I Rimfire 4x28mm Rifle Scope (linked below) as another potential option.
https://www.opticsplanet.com/leupold-fx-i-4x28mm-rimfire-rifle-scope.html
It would although it depends on whether you want an etched sight so it works without power just as well as it does with power. I have the Romeo & Juliet 4, 4x magnification with no etched reticle and a single red dot with different brightness levels but I can say this without question and mines shake awake so batteries die quicker... I've never had a battery die but any movement and it's awake. It's also a very VERY durable red dot and magnifier. Mine has been dropped and slammed around and I cringe when it happens but I mounted them over a year ago, have put at least 10k rounds through the rifle and both still are going strong and I've never lost zero. I can shooting and without moa lines I can use judgement learned through practice to hit tight groups at 100 yards with no magnification and I've not been able to shoot beyond 500 yards I can do it quite well with 4x max and my single dot with no lines