I have a Savage with 0moa and a scope with 50mm objective and I'm using SWFA low rings and have about 1/4 inch of clearance. I would think mediums should be enough. Skylar had a post about how to measure for proper rings, it's here somewhere.
Ever spit it out rather than swallow it?
Enjoy it while you can. One day you might be complaining about NOT getting random pop-ups in the morning.