Re: Savage LRP, which base?
Like was said, it is a round back. Be careful buying a base for it though. It has the target action, which means that it has a closed top with an ejection port, not open like most Savage rifles. Some bases have recoil lugs built into the bottom and they will not work with the closed top target action.
I went with a Warne, but I know Nightforce makes a good one. Maybe Murphy Precision or Ken Farrell.
If you are looking for a less expensive option, I believe EGW bases work too.
Justin