Year 13 here, one of my chemistry teachers has a flexible webcam like a webcam on a long bendy bit that you plug into your computer (sorry I don't really know how to describe it). Which he joins the lesson on, then he puts that over a bit of paper/ whiteboard so we can see what he is writing and I think that works quite well especially for the bits which are not very easy to do on word.
its like this (which is quite expensive) but there are probably some cheaper ones out there
Can you get a desktop visualiser to hook up to the ipad using a USB? I appreciate that's not a perfect solution when all new stuff has just been purchased but this is what i use
HUE HD USB web cam ~$50, flexible neck and is plug-n-play so no software required. I've used it with video conferencing software and works well as alternative doc cam.
HUE HD (black) USB camera for Windows and Mac https://www.amazon.com/dp/B000TTIP40/ref=cm_sw_r_cp_api_9jT8zbP8N38XD