I used to have the same problem with country music, so I stopped listening to it.
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It certainly seems like your asking too much from the amp. I am not sure why the DSP is doing that but adding a little more low impedance bass for the amp to supply makes sense. Get a higher current amp a "D" class amp with lots of power isn't so expensive anymore. Check out Wyred4Sound for example. Other ICE powered amps and Panel speaker Amps like those from Sander Sound Systems or H2O.
I don't think in general a fuse blowing can be attributed to clipping. More likely, the speakers are just being driven to the point where the fuses blow. The amp may or may not actually be clipping when it occurs.
In any case, assuming everything is working as it should (no guarantee with older gear) most likely you are just asking more than the speakers are designed to handle.
If the fuse always blows immediately when the processing on the receiver is switched, then it might be due to some sort of noise or other electrical anomaly situation created by the receiver when the audio mode is switched. Try turning it down when switching then turn it back up and see if that makes a difference.