FWIW, I got lazy. I left the old transducer in place, and did a internal installation with some PVC tubing I got from Home Depot which I cut to the correct angle and glued to the hull. The tube is filled with mineral oil, and the transducer sits in that. The hull is solid, and so the signal from the transducer is unimpaired.
I get a clean signal, and the setup works fine. I thought of removing the old transducer (which would require drilling it out, removing the old thru-hull, making good, installing new through-hull, etc) when I did my last haulout, but considering the cost and effort, I decided to stay with what I had!
A final thought - before installing, I tried a number of positions with the transducer in a plastic waterfilled bag (as I am sure you know, transducers don't like air pockets!). Even in that small area (under the stbd fwd cabin locker) there was quite a lot of variation in reception strength.