Ah yes, cross platform video. The bane of anyone who has ever worked with videoconferencing systems. If you're still working on it (ditto for the authors of Be My Eyes) it may be worth getting in touch with someone along the lines of Pexip[1] to see if they're interested in assisting with infrastructure and handling of media so that it's possible to focus on wrapping that is some beautiful UX for this use case.

[1] http://pexip.com/