(after removing the foam and refoaming) to rough up the glass on and around the stringers, and just begin laying alternating layers of mat/roving?
Look at Capt Rick's rebuild in the photo gallery here - he did what you're asking.
There are a LOT stronger material's than mat out there.Biaxal is most favored. 1808.
Something's wrong with the pictures on you last post... won't display.
Regarding grinding the transom down to good glass, that's the stage I'm at with my 240. Real mess of a job which I've been putting it off.