Is there a solid fuse-like item that I can use in place of a fuse, to bypass it?

I don't see what hardwiring your power amp into a junction box in the wall is such a bad idea? Commercial / industrial equipment often does this. Especially the monster solid state amps that need their own dedicated 20 amp circuits. In fact, why not make those amps 240 volts & then they would draw a lot less current too.  The units could come w/ a heavy duty pigtail wire connected w/ your specified length & have your electrician hardwire it if you don't feel comfortable doing so yourself. When you spend $50 - $100K or more on an amp, what's the big deal? 

This would alleviate two different connection points (wall outlet & amp plug) & would have to affect the sound quality as most everything does in a high end system. 

P = IV. At 240 Volts (V), It would draw the same power (P -wattage) but 1/2 the current (I - amperage) than @ 120 Volts.  Basic electric theory. Hardwiring would do away w/ 2 additional "plug type" connections that can at times be iffy & limit current flow. Wires twisted properly together & wire nutted (in the wall box) & soldered in the amp would be at least theoretically a better way to go. I'm surprised the idea is not tried & discussed in our circle of audio nuts.