Is there a specific reason for wanting a rolling block? A trip to any gun show and many gun shops will usually turn up several used .22 rifles suitable for beginners. mostly bolt action. I don't recommend a semi-auto, lever or pump for a beginner for a number of reasons, mainly the difficulty of single loading.
But Winchester, Remington and Savage made millions of single shot and box magazine fed bolt actions that are great to learn with (the box magazine can be removed to make the rifle single shot). And they are not expensive, usually running $100-150.