First off, congrats on the new gun. I get members PMing me all the time telling me that they took my recommendation and bought a Tikka, and they all love it. (and no, I don't get any kick backs from Tikka

)
Also, congrats on the cartridge. The 7mm-08 is one of my favorite cartridges, and I think that it is the IDEAL cartridge for whitetails out to 200 yards.
As for the rings, I really don't know. I would imagine that the Leupold with 40mm objective would work great. If you can, take your gun to a local dealer and place any 40mm scope on top of the rings. If there is plenty of clearance, then you can determine whether the rings are high enough for a 44mm objective. Other than that, you could always call Beretta.
Zachary