A 7mm08 simply isn't a 5.56, especially in a light rifle. It is going to recoil. Add the relatively narrow field of view of a higher magnification scope, and the muzzle rise will pull the scope and field of view off the target. It is physics.
Your options are limited. You can shoot a lower magnification (larger field of view). Muzzle will still rise, but you can keep the target in view. No, you won't seem bullet impacts like with a 5.56. You can dramatically increase rifle weight. Heavier rifles recoil less, meaning its easier to keep the target in view. Also, try holding the rifle in tight to the shoulder. It won't reduce recoil, but can limit rise.
You have one final option: Try a new stock. Find one that has very little drop between the axis of the bore and the top comb of the rifle stock. A relatively straight sock directs recoil straight back more than rotating up. The axis already has a fairly flat stock, decently in line with the bore, so this likely won't help a lot.
You don't verify a hit by seeing bullet impact with a 7mm08. You verify the hit but seeing the deer drop, jump, or otherwise display some show of being hit.
Fro