I had heard that, on the trailer, with the old Raymarine radar dome, the height was 13 foot, 8 inches. The newer Raymarine radar dome is about 2 inches shorter, so that'd be 13 foot, 6 inches on the trailer. Subtracting the height off the ground, up to the waterline would get you the water clearance.
Four foot added to your 9 foot, 7 inches, would make it about 13 foot, 7 inches if the radar arch was mounted on the aft section of the cabin roof.
As such, that sounds like pretty low clearance.
I think Brent and Dixie had an especially low radar arch made that barely cleared 12 foot while on the trailer.
If I were close to my boat, I'd measure the clearance from the waterline, but sorry -- too cold and far right now.
John