Welcome aboard Steve, and thanks for your service and sacrifice.

Objective height isn't a problem with H&Rs, base height is ~.400", but there's plenty of clearance for 50mm objectives even in medium rings depending on the scope, the interference point is the hammer at the ocular bell/power ring on variable power scopes, scopes with smallish parts there are less of a problem, scopes that have large dimensions there will need high or extra high rings unless hammer modifications are made, see the FAQs on that. As you can see in the pic, the 6.5-20x50 scope is mounted in medium rings, but still clears both the barrel and the hammer, a hammer extension is required tho.
Tim