Pic please Gil. If you current board has really soft (rounded) rails out near the tail, then it will be the board, not the driver!

A 9'1 McTavish EvoII will suit. Had a moderate amount of rocker for beachies. But the board also carries years worth of little refinements. McTavish boards "just work". They are the equivalent of Channel Islands Short Boards, but in the Longboard Arena, in terms of being a well researched and well refined board.
You mentioned Tints... Well McTavish are about the best in the business. Whilst they do loads of sprays, their tint work is truely amazing. Tints require more care, and more skill, and sprays are just easier... But you can create more detail with spray... But I like TINTS!

http://www.mctavish.com.au/surfboards/surfboard_artA 9'1 will compliment your 9'6 just nicely. Plus, it will be really easy to adjust to.