Can’t be too much, lets do the math.
I don’t know your load so we will use, Federal 150 grain factory ammo going 2820 fps zeroed at 200 yards drops 8.8” that is just under 3 MOA at 300 yards or just under 12 “clicks” with a ¼” adjustment scope. Your load must be similar to this because your 12 clicks “gets you close”.
So your 57 MOA scope is “topped out” very near 300 yards. Half of 57 MOA is 28.5 MOA, to have the crosshairs centered in the scope at 300 yards this (28.5 MOA) would be the base that you would need. So a 20 MOA base won’t even have the crosshairs centered much less too high.
You said out to 500 yards above, the drop of our example round from 300-500 yards is 46.4” or 9.28 MOA so a 20 MOA base should do it.
Edit: math was wrong