Welp, 2 things. What year is the bike? And how far south? Air cooled, I'm gonna assume (I know, I know) that it's at least from the early 80's. Plus hot weather? I would run the Rotella 15-40 in it. Both the 15-40 ( I believe it's the T-5), and the T-6, 5-40 are rated JASO, which means it is indeed wet clutch safe. If it's old, and you get hot, I recommend a thicker than stock oil. Not thinner. I have been running the 15-40 in my '83 GS 750 for over 10 years. Good stuff, and quite a bit cheaper.
The Edge... there is no honest way to explain it because the only people who really know where it is are the ones who have gone over.
― Hunter S. Thompson