No smell of burnt rubber from coupler. Prop hub is new and I looked at it it had not spun. If the gears broke or something like I would hear that. The smell if caught whiff off was maybe gear oil. This once before 2 years ago changed engine coupler and still did it. Then all of sudden it just stopped till I put on a new prop from 15.5x17 to a 14.5 x21. Then it started again so I stopped the boat changed back to old prop while in the water and it still did it. So you are saying there are no clutches of any kind that could slip. Only gears? I think my boat has gremlins. It's a 25DA searay 1990 rebuilt motor this season approx 375hp 7.4l
No clutches in the conventional term. However the Bravo drive uses cone clutches which could be worn and if they are slipping, a drive rebuld is in your future. Things that cause the cone clutches to slip is miss-adjustment of the shift cable or incorrect gear lube
Ventilation of the prop could cause the prop to "slip"
However most likely it's a bad coupler or bad hub. Mark a line across the prop, prop hub and nut. Take a run and get it to "slip"
If the line remains intact, it's your coupler or the drive needs attention