We just sailed on 8/17. Needless to say, there were no tropical storms, hurricanes, etc. The seas were extremely calm. I had Bonine, but like many people have prevously stated, I took the first one the morning of boarding and never even thought to take another one the entire trip.
I do have to say that it was hotter than Hades at all our ports and the 4 days at WDW afterwards.
Last time we took at cruise was 10 years ago on Premier. We disembarked the morning before Hurricane Andrew hit Florida. Although it was considerably windy the night before we returned to Port Canaveral, the captain had no problem finding us relatively calm seas.
If during hurricane season is the best time for you to travel, I would not hesitate to do so.
Ruth