Steven,
I have a drilling in 16x16x.30-30 and I never fire it because I always get messed up with the firing order/safety/selector arrangement. Not a gun problem it's a user (me) problem. However, I do have two Win 101 combo guns that I do shoot and hunt with. One is a 12x7X65R and the other is a 12x9.3X74R. Based on my experience with those I would think that a drilling with either a 7X65R or 9.3X74R barrel would be good for just about anything in the USA. Both of my combo guns have factory scope mounts that are just like the EAW and I have a .375 bolt action with the EAW mounts. I love those mounts. They are easy to use, don't rust like some of the lever mounts I've used, and they do repeat the point of aim when taken off and replaced. I think you made an excellent choice. By the way, I think you can get a peep sight that you can slip into the rear of the EAW mounts when not using a scope. Not sure - I just seem to remember something about that. Good shooting.