Carnosine is thought to be a radical oxygen scavenger, so its benefit is supposedly though reducing free oxygen radicals. You aren't going to "overwhelm" the enzyme unless it has some sort of substrate inhibition mechanism, where too high a concentration of carnosine (its substrate) binds to a separate site and prevents the function of the enzyme. I don't suspect that supplementation with carnosine would do much of anything, seems like if it did, then eating a lot of meat would do the same thing to me. Best of luck!