As a Diamond member you have access to the Live Analysis board. It might do what you want, especially if your students are Chess.com members.
https://support.chess.com/customer/en/portal/articles/1444912-how-do-i-use-the-live-analysis-board-
Interactive Chess Software
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What software do internet chess instructors use?
I have been ask to teach someone basic chess, One week in person and the other week over the internet. Over the internet, I would like to be able to move pieces, highlight squares, etc. As well as being able to talk to the person.
Any Suggestions?