I don't have the American, but I know your reason for asking.
Are you mounting the rings on the receiver or to a picatinny/weaver rail?
It will depend on the rise/style of the rail also. My rail is slightly raised and has clearance to eject empty.
I mounted a 6x20x50 ( yeah I know, too much...but OMG)scope on my Savage FVSR .22,using a picatinny rail, and medium rings. Low would not work, and high was TOO high.
Ended up with about 1/16th inch clearance with lens cover. PERFECT.