I can't use see thru rings. I hate them, they sit the scope up way to high for me. I always buy the lowest rings that will let me clear the hammer on the H&R's. So for me, it's either open sights or a scope, I can't do both comfortably.
If the scope feels good to you, maybe you can buy a good set of quick release rings that will return to Zero if you decide to shoot some .38 special with open sights.