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

Why? By removing the fuse, your equipment becomes vulnerable to being destroyed should a surge take place. The fuse is a sacrificial part of the electrical circuit rather than a circuit board, capacitor, resister, etc.  

at the fusebox you can use circuitbrakers..

Go to your kitchen drawer for the Reynold Wrap and shape some into a fuse.

If your amp fries and or house burns down, I'm not responsible for you choosing this dumbass suggestion.

Simply wrap the fuse in copper foil. Some foil has adhesive that is conductive.....perfect stuff....been using it for years. Just once around will do otherwise it won’t fit in the fuse holder. If you use a 20 amp slow blow or larger fuse it already has lower resistance. All tweakers need to have a roll of this stuff around....great for shieldng too.