Thanks for the reminder, I did completely overlook my video driver (I was one version out of date... apparently one was released about two weeks after the last time I remembered back in February). Didn't fix the problem, but it did get me thinking about other things I overlooked.
Turns out my antivirus made a false positive for a trojan on swtor.exe... quarantined it without consulting me. I had to make an exception for it (and turn on more robust reporting). Good ol' AVG. Problem solved.