Putting aside that judges can make exceptions when circumstances warrant, one would think that this function (providing live captioning of the proceedings) would be a reasonable accommodation that courts should be able to provide. Especially now that every courtroom is (or can be) equipped for sound and video to support remote operation, it shouldn't be too difficult to support a display with the captioning via the court IT system and alleviate any concerns about surreptitious recording.
There's already a stenographer recording the proceeding, right? I'd think you could project what they're recording onto a display somewhere.