Well, what you need to do is simple. get a voltage meter.
Read you battery with the ski off. (post results)
start ski on trailer (shouldn't need water, only run for test, should be 20 sec max).
read the voltage level now. should be 13-15 (I don't have the FSM open at moment)
rev ski to 3k, should be same voltage or close.
Basically we are looking for the battery to be 11-13v with ski off and it to show 13-15 with the ski on.
if that occurs, your charging system is at least working. so, I'm inclined to think it's something else... but you may be right, and in limp mode.
First link should be
http://epc.brp.com/
the second link is correct, it gives you a history of the problem and this persons solution... it's a rectifier...?
Of course this testing will only tell you if you have a problem, more testing will be needed to determine cause... stator/magneto /MPEM/ etc