Florida summers can be brutal when sleeping (or trying to) onboard w/o AC. I can see your reasoning behind utilizing the amenities you have and think generators are perhaps the most popular means of powering AC when away from dock.
With that said, my personal experiences of generators above deck are negative, at best. Naturally, this view may be bias, since we mostly sail in New England waters, but regardless of make - Honda or otherwise - generator noise is a major sound pollution nuisance.
If designed by the boat mfr. to be below decks, in a properly ventilated and sound insulated compartment, such as found in well designed motor yachts and larger sailboats, the noise is sometimes tolerable. Every overnight anchorage we've ever spent time in with a neighboring boat with an on-deck generator, has been the scorn of the anchorage. Above deck generator noise is a huge problem. However, if you want to be despised by other cruisers during those steamy summer nights with everyone's hatches open, then go for it.
True Blue . . .
sold the Nauticat