High output alternator

Whatever alternator you use, the voltage will be regulated. The alternator will only deliver enough current (amps) as is needed. You may need thicker wire from the alternator to the battery or distribution point, and maybe a bigger fuse or fuse link if the alternator wiring is protected.

The only thing I see as possibly wreaking havoc is that every time your bass hits, it imposes a severe demand on the car’s electrical system, dropping operating voltage and causing power surges, which can eventually damage the car’s electronics.