Well shoot, somehow I completely missed that there was a graduate division application for Berkeley, so despite submitting my SOPHAS app quite early, I didn't ever do that additional app. I just got a very sternly worded email from the SPH that seems to be encouraging me to complete the application while also telling me that only applications submitted by 12/1 will be evaluated. I guess I'll fill it out and see what happens, but I hope I'm not just wasting money if it's a lost cause at this point...
It's absolutely my fault for missing that extra application, but I have to say, it definitely wasn't listed on the SOPHAS page like other schools (ie UCLA), and also wasn't extremely prominently mentioned on their website (at least in the places I was looking).
edit : well, looks like I'm not getting into Berkeley. I quickly filled out the grad application, but I'm being being prevented from submitting due to the passed due date. I suppose I could try to get in touch with the SPH and see if they could extend the deadline for me, but at this point I think it's best to accept that I screwed up and take it as a lesson to be more careful in the future. The good news is that Berkeley wasn't my top choice, anyway, but it's frustrating.