No such luck, I’m afraid, but your assistance and time is appreciated!
Just a few moments ago, I ran into this tutorial for Triple Loops: https://perishablepress.com/press/2006/11/22/perishable-press-triple-loop-for-wordpress/
I highly suggest it for anyone who’s having trouble getting multiple Loops to function correctly. I would have found this much quicker if I had Google searched “triple loop” instead of “multiple loops” or “three loops”. Dur.
So far, I’ve applied my conditionals (what Categories I want to show up, how many posts, etc.) to the code the tutorial above provides, and everything seems to be working. I’ll keep things updated here!