look at a 4-12x40 with parallax adjustment.
A Leupold VXII 4-12x40 AO works great on my .243 Tikka (with about 1/8" clearance) using the factory rings.
I had planned on replacing them with a set of Warnes, but they are doing fine so far.
I just recently swapped out my OEM rings with a set of Warne's. You'll love them.
Which rings did you get, medium, high?