Influence and a bit of Sense cover the extrasensory perceptions, but are there specs that synergize particularly well with Influence beyond just having Force Rating and social skills?

It's for a character that sees the Force as specifically an ability to read and influence minds, not a mystic energy field that lets you do lots of different things.

What do you want to get out of a telepath? What do you envision it doing? I think that's the key.

I think of it as a social role, mostly, so I'd cross Arbiter and Advisor and add Influence, Sense, and maybe Misdirect.

Well, the character concept is just a safe for work Emma Frost. Teacher or activist with a sordid criminal past who can grow into a very disciplined, confident person across the campaign.