If you decide to buy the Yamaha you will find it fits well between the stern flip seat and port gunwale. I have the generator front facing toward the stern on our C30. The generator handle is above the space and its rubber feet prevent it from sliding backward but I insert a piece of foam in front of the face as a precaution to protect the knobs and switches. So, most of it is tucked underneath the overhang.
I cover it with a very heavy water-resistant bag (and big hockey carryall) then secure it with a couple of straps hooked to eyebolts fixed to either side and across the back of the generator. That seems to do the trick keeping it dry and secured.
We bought it as a precaution travelling in the Broughtons when we were on the hook a lot, and where you can wind up a long way from anywhere useful if your battery goes dead. No easy access to the washdown faucet unfortunately but easily moved, and you can still raise the locker hatch cover if you tuck it right in.
We never store ours on the boat when we're not travelling. Aside from not knowing how the ocean air would affect it over long periods, I like minimum gas on the boat.
It's awkward and heavy to move it off and on, of course but we don't always take it. It's more for peace of mind than anything else. Yes, extra weight and all that. For extended trips I don't care. I sleep well!
I assume your model is the same as my 2014, one of the first built. Maybe measure before you buy if that's what you decide. Honda size specs would be quite similar I expect.