Lost prime
The sea water pump on your 3GMF should pick up the prime that can be lost if you heel enough to expose the through hull to the air. It obviously doesn't, but I trust that for most of its 16+ years it did. You state that you have checked the impeller. I hope that means that it is not worn nor flacid. What does the cover plate look like? If it is not totally flat, make it so. This can be done on a belt sander. Do it carefully because you will also trim your finger nails and brand your finger prints. Consider too, the amount of wear that you remove from the end plate can also be worn away at the other end of the impeller. The pump body can be machined but, unless you have a machine shop, a new pump might be less costly. Be sure that you reinstall with the proper gasket. We are trying to keep the air from making an end run around the impeller blades. Too thick a gasket can be another cause. If all is good, the prime can sometimes be picked up by increasing the speed of the engine for a short period.