Curious how critical it is to run coolant for a limited use application?
It's only to prevent oil cooking after shutdown so not needed if you know what you are doing.
BB chargers might need continuous water cooling because there's much less oil flowing through it.
Might?
The air cooled centers have external fins to help dissipate heat as shown below.
Additional cooling is required due to the decreased volume of oil. In short run time applications many will fill the water area with oil and cap it.