I began searching for a bit that would work, even trying out a double bridle before I finally figured out it was the tongue pressure he was fighting. Once I got him in a bit with tongue relief (a ported correction bit), I had no more issues with bridling him. While he isn't going great in the legal bit (yet!), at least he takes it readily each time I try it.
I was also relieved that the frantic chomping of the bit from the week before never showed up. I know he was more relaxed this week, but was it because the bit was more familiar, or was he simply in a better mood? Who knows?
Back to the regular bit this week, but I am sticking to my once a week plan!