I have a 2006 292 which is a twin stepped hull like your 382. The factory depth finder didn't work very well and I replaced the thru hull transducer with one compatible with the SC5000 smartcraft display. The factory tranducer is located under the hinged step entering the cuddy cabin and this is where I installed the new one. I researched this and you MUST install the transducer forward the the steps in the hull or you will not get a good reading when on plane. The factory transducer was smaller in diameter than the new one I was installing. There IS a liner, so I had an experienced shop with the right tools enlarge the hole in the liner. The new transducer has a housing that I siliconed to the hull and filled with mineral oil. The transducer attaches to the housing and is sealed with an o-ring. The signal shoots through the mineral oil and hull. Works GREAT, even running 70 mph!

I would not install your transducer in the engine compartment unless you don't care to see the depth while underway.