Hmmmmmmmm, well this is more serious then it appeared man! If it were me and my dancing girls were not happy. I would.........well, that's beside the point but.........
For just standby power(engine off), perhaps add another battery
if needed and in any case, optimize my/any charging methods, two thoughts or so here.
Loose the "one wire" idea's/setups.....go only w 3 wire(remote sense type) and use only the type of batt. charge management devices(ACR's, VSR's, ISO's etc) that drop say less than or equal to 0.1 volts for example when charging. Doing both will help you charge what batts you have as fast as possible with your given alt when engine/alt is up at rated speed for rated amps.
If run time current of say 100/150/200 amps, whatever (I'm not going to read this whole thread to figure it out, just an
"IF") at idle'ish was required for quicker recharge and/or real time current needs......I'd consider a re-pully kit to spin the alt faster (not too fast though, there are always certainly trade-offs involved, say 3 to 1 ratio perhaps, not sure, I'd have to look at spec's) and/or simply just low RPM, high amp alt's.
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Google this stuff, tons of info on how to do this.......Dancing girls and power issues have been around for eons