For one thing, the specs on that amp call for 2x15A fuses. Running 30's may have allowed internal damage, but if that were the case I wouldn't expect it to run at all.
I would say it sounds like thermal protection, but typically takes a few minutes. My old Vibe 430 running all 4 channels at minimum impedance would turn off after playing loud for a half hour or so. How long after you put this bass CD in (I assume) did it shut down?
Does the amp feel hot when it turns off?
How long until it comes back on? Or does it come back on?
Flip the "Freq." switch to low, bass boost off, LPF to about 9:00 (hpf isn't active). Halfway on the level (gain) is probably ok with a cheaper (2-4v) head unit.
That is where the settings should be, but I wouldn't expect those adjustments to keep the amp from shutting down.
Do you have a voltage meter? It might be helpful to measure the voltage at the amp and see if there's a voltage drop when it turns off.