Oh yeah, that's a great point! I've found that the category pages rarely rank directly, but you'll definitely want to double-check before outright blocking crawlers.
Just to check my own understanding, CleverPhD, wouldn't crawlers avoid the category pages if they were disallowed by robots.txt (presuming they obey robots.txt), even if the links were still on the site?
That's rough; I feel for you. Personally, I'd advocate taking an approach like the topic-focused one in Cyrus Shepard's "Keywords to Concepts":