One of the very best scopes for the money for your 22 RF would be the Mueller 4 X 14 X 40 AO APV scope. It's about $130 delivered from many places.
You will have to spend at least twice as much to get better optics. For the price, it's very sharp. Having an AO scope is very imprortant. Non AO scopes for 22's are set at 50 yards for parellex. If shooting at 25 yds, 75 yds or any range but 50yds, your parellex will be off. Unless you set the parellex for the exact distance you are shooting, and you look through the scope at the exact and I mean exact same angle, you shot will be off from where the retical is.
Then you wonder why your groups are not good.
Spend a little more money and get a good scope. You still have the 4X for close up shooting, but the 14 X is great for longer distance and shooting at paper.
The scope is good enough to let me shoot a group just under .1", 5 shots at 50 yds with my accurized Savage BRJ. I know I could not have shot that group with a 4X scope, especially a cheaper one.
Spend the money, you will be glad you did. The shortcomings of a cheap scope become very obvious very quickly, then you are kicking yourself for wasting money. If you decide on a cheaper scope, at least make sure it's an AO scope.