So I called the admissions office today and got a little info. I was told that a rather large batch of acceptances was sent out last week, and it will be what sounded like a couple weeks before they hear back from everyone/know how many more spots they have to offer. (I mentioned that I have to let a different school know about their waitlist by the end of next week, and the answer was that there will definitely not be more news before then.) I was also told there was "plenty of time" before the 2nd week in August (when my current acceptance starts), so it sounds like there definitely will be some more movement at some point.
Thanks for all the support, everyone, but we might have to uncross our fingers for a couple weeks. 🙄