A TT is a C-150/152
converted to TW, right?

Yup.

I should also
mention that I'm 6'5" (though skinny so I weigh the FAA-legal 170lbs).

You'd better see if you can get into a 150. The bottom of the panel
will be banging your legs and your head will be close to the ceiling.
We had 150s as trainers and tall guys didn't like them.

Dan