Leupold.
Whatever you get, you should consider these issue.
Rimfire ranges are shorter than centerfire, and rimfires tend to be shot at close ranges for plinking as well as hunting. Many centerfire scopes will not focus properly or have proper parallax adjustment.
So, here are two criteria in selecting a rimfire scope.
If the objective is not adjustable, look at scopes specifically made for rimfires. These will have the fixed objective factory set to a closer range. Shotgun scopes will also be set closer, but generally they will have overly heavy duplex reticles.
If the objective is adjustable, most cut off at 50 yards. Try to find one that adjusts closer. Those made for rimfire will typically go to 10 meters (33 feet) because they are also set up for airguns or 50 foot range shooting.
The above is not a huge issue with low powered scopes, but if you are using a 2-7x or a 3-9x etc., the higher magnifications will show this to be a big issue.
As for the scope on my 10-22T, it's a Leupold Vari-X II 4-12x, with a 40mm adjustable objective. It has served me well for two decades on that gun. I consider it to be ideal for the 10-22. Low enough magnification for fast shots close up, and the 12x is nice for precision, or for testing ammo groups at the range. It's not exactly a cheap scope, but it is affordable. Also, Leupold also makes a Mark AR 4-12x that has a target elevation knob. I'm tempted to install one of these instead, because I often shoot subsonics though a suppressor and the target knob would make changing the POI much easier.