Man...that is one whole hell of a lot of mathing and ciphering to do to arrive at a conclusion that can't be trusted! It doesn't take into consideration how high the top of the receiver rail is above the top of the barrel...or where and how high the rear sight is located on the barrel...or how much clearance is required at the rear of the scope to avoid bashing the eyepiece with the bolt handle. There are all these factors to consider, plus the individual shooter's build, which in turn determines where the scope must be placed to allow for proper eye relief for that person.
Then, or course, there's the joy of learning that some scope ring makers measure the height of the ring from the top of the rail to the bottom of the opening, i.e. the bottom of the scope tube...but others measure it to the middle of the opening. You can't go by vague descriptions as low, medium or high, because they are different for every maker.
After you've been at this for a few years or decades, you will have amassed some experience with many of the various types of rings and scopes, and that'll help you with making the decision. You'll learn that Leupold scopes tend to have shorter eyepieces that are also often thinner and less bulky than many other brands and will fit places that others won't; you'll know that the classic Weaver rings will rotate the scope as you tighten the clamp screws, driving you crazy as you try to get the crosshairs perfectly level; you may find that many scopes with variable magnification may bind up the power adjustment rings if you clamp the rear scope ring tightly around the body tube right next to the adjustment; and on and on...
By that point you'll also likely have a drawerful of assorted rings and bases that allow you to swap and experiment to find just the right mounting set-up for your latest gun purchase. I just recently sold off several "package deals" of scope rings, so now I only have about 45 or 50 spare sets to sort through.
So, here's the deal: I know it isn't what you want to hear, but your first foray into scope mounting and use will go much more smoothly if you take your rifle to the store with you and have it in hand while you choose the hardware. Settle on a scope you like...I agree with many above that a 2-7x or 3-9x is a great choice...and then hold it above the rifle while settling behind it in shooting position. Decide where you want the scope to sit for comfortable eye relief
for you...find out how low it can sit and still clear the bolt handle and rear sight and barrel...and then find scope rings that look like they are about right for your application. This pretty much demands a real honest-to-goodness gun shop with a helpful, experienced sales guy to help; don't expect to do this in a Cabela's on a Saturday morning where you have to take a number and wait your turn. It will take a bit of time, but the results will be worth it.
This way, you won't be as likely to become one of those guys selling rings or even scopes on the EE because they bought the wrong stuff that won't work on their gun for them, and now need to move it down the road and try something else. Good luck!
