Your outboard motor peeing great just means your water pump is working well, it does not mean your engine is being cooled, as the stream comes out before it reaches the cylinder head. Here in Florida, 80% of the used outboards I have bought had clogged cylinder head water passages, some totally clogged closed! Do yourself a favor and get yourself an infrared thermometer, like this one (I have the identical model), and check every spot you can reach. If it overheats, you will have to take the heads off and clean them.
https://www.amazon.com/Etekcity-Lase...5625574&sr=1-1