Make the board slightly larger than your tranducer--and two screws will work fine. Be sure that you drill the holes in the Starboard first, then drill the holes in the transom--over drill the holes, under cut, the core, and fill with epoxy, then drill pilot holes. Criss cross cuts in the starboard next to where it goes into the hull--I like to use a very small dovetail bit in a Dremel tool, and apply the Starboard with 5200.
This way you can reposition, change, or move the transducer anytime you want with zero risk of water intrusion into the transom. Many boats I have looked at have water intrusion into the core, from the transducer screws--these screws are often loosened, to move the transducer. Getting a good seal under water in a cored transom is difficult. If the transom is solid glass, then not so much of a worry, but I still put on the Starboard--it is just so easy to move and adjust the transducer.
In the C Dory 25 we owned, we had about a 3 " diameter area where there was transom damage, which had to be routed out, and fixed before we mounted the starboard. This was because the transducer was not properly sealed--although professionally done.