I just learned from my inbox – LDC has a scholarship program to provide poor university students with corpora for free. You have to describe your need for the specific corpora (up to 2 pages) and your advisor (or department chair) needs to write a letter of support, which should confirm that the student/project are good and also needs to explain that they genuinely lack the funding to purchase the data.
It seems like a really excellent way to help students that don’t have grant/department support. The deadline for the current wave of scholarships is January 31st (next Monday). See the LDC page for more info.