You might also take a little time and evaluate if the factory scope base is even long enough for what ever scope you may want to use. I have personally found that the Ruger scope base is too short for many higher power scopes for example my favorite 10/22 here:
Thios scope is a "cheap" Bushnell 4-12x40 but it is very accurate for general range and critter plinking. As you can see in the photo above, I added a Volquartsen Picatinny Scope Mount on that rifle which extends the mounting surface 2-inches forward of the receiver. You can get these bases here:
https://www.volquartsen.com/products/366-1022-picatinny-scope-mount-
The rings are nothing fancy, simply Weaver style rings but note the correct height depends on the height of your base as well as the size of your scope.
If you have a local gun shop, they should be able to help you find the correct rings once you decide on the scope and then the proper base that will allow the scope to be mounted. Sure, you can buy a scope based on the base Ruger gave you but that is a tad bit backwards logic to me as I will use the scope far more then the base I am trying to use :wink: