I still think the best solution is to have both available. Regardless of popular opinion, you don't have to spend $1000 or more for a Honda to get the job done well. My generator is a Powerhorse from Northern Tool, 2000w inverter that runs from 52db (at idle charging battery) to 61db (at full power running microwave). $560, starts first pull. An hour morning and evening keeps my single 85ah battery in good shape, runs the microwave when needed. Clean power (1.5% total harmonic distortion) for charging or running computer electronics.
I also plan to get a 100w solar suitcase (Renogy) to help minimize generator use even more, and with what I saved by NOT buying a Honda, I can buy the $350 Renogy solar kit and be set up to go both ways.