I don't want to jump ahead too far or make any predictions at the moment, but it looks like there's a way I could try getting my student loans out of default. Have to dig pretty deep into the details, but it's...a possible route to being eligible for financial aid again, though I'd have to take it up with the school on a case-by-case basis. And at the very least, I'd eligible for further deferment.
I'm not sure I have enough eligible aid left to pay for a full education, but that's somewhere around step 49 of Section 2, and I'm perusing the cover notes for Section 1, so we'll see what, if anything, this would mean for future options.
Not crossposting this, and dropping links to relevant pages for my own future reference.