I did get to pass the milestone I was waiting for yesterday, but it took most of that day. I guess the tail end of the thread lasted longer than I thought it would.
I just started a really small loops round to try and get the piece a little denser. That way I can start another section of basket stitch without it being too loose. If I want this to be a good sized tablecloth, I'm only halfway there. If I had continued with the loops growing at this rate, I'd have holes big enough to put a hand through soon enough. Of course these really small loop rounds are going to take forever and grow the piece much slower, but clearly this project is a marathon, not a sprint.