Interesting....
So instead of immediately ordering the new caps for my amp, I decided to look toward my source for the issue before coming to any conclusions. I said the amp sounded "harsh" in my initial post, but in fact, my source was the culprit. There was etch and grain in the treble, and I simply assumed 'this must be what neutral sounds like,' when in fact the warmer sound before cap modification was covering my poor source output. After some tinkering, the 'harshness' has completely disappeared, and I'm now hearing the clearest, most transparent sound I've heard in my entire life. It's incredible...
To be clear, I do not believe in cables, or any other 'snake oil' solutions for changing sound.
Edit: That said, I'd still like the sound to be ever-so-slightly warmer. I'll probably end up throwing in quality caps relatively soon.