You also need the skill of lightning-fast LaTeX typing, and the skill of drawing and drafting with a speed comparable to that of a chalk. You need a canvas-driven tool for that, and your eyes would be on the screen for long periods of time, not contacting the audience.
There are regular white/blackboards that you write on with regular marker that just has a tracker on it, so content appears on the canvas on screen for those who are remote. More advanced versions also have laser projector that can project animations, moving diagrams and text on the same board. My suggestion is to tap the board on the place he wants to write and just type it on regular keyboard, hardly a distraction!