Do you ever intend to use just the iron sights? I haven't used Iron sights in 30 years myself... I would remove the rear sight and set your eye relief correctly. Going higher on the rings will only give you a sight picture issue (meaning the scope will be higher, therefore you may have to add a cheek riser to get your eye in the "right spot". The theory for scopes is to mount them as close to the barrel as you can, without it touching.

You could also think about putting on a 20 MOA base... As I see you are running a long range scope. That will give you additional elevation adjustment for long range and also may fix your rear sight contacting the scope.

Then again, if you're going to shoot long range.... You aren't going to be using open sights.... Unless you are in the same class as Hathcock.