Inspired by a previous discussion thread here (#200568), I have set up a profile on Vida.live to test out the ability to emulate Italki's functionality in a Bitcoin-friendly environment.
Please book a class with me if you want to test this out. You can also leave comments here about how to make this a thing and promote this into the world. I've started making a website to promote all the profiles of teachers that offer similar classes taking LN payments.
The good news is that (at present) vida.live is not taking any fees for this type of use of their platform.