I don't know if the new C-models have TCAS (I can find out), but the A models didn't.
I was once in a similar (though MUCH slower) situation. I was teaching slow flight in a T-41 (souped up C-172), and a plane approached from my left behind the "A-bar" on the left of the windscreen. We passed within about 30-40' of each other--close enough that I heard his engine. No one was at fault. We were both clearing. But we almost both died. The scariest flying experience I've had in over 20 yrs of flying.