This is not a question that can be answered in one nice tidy short paragraph.
You need to learn yourself up on the 12V & 120VAC worlds especially as you are embarking on the major project of a bus conversion.
The genny does not charge the battery bank. A charger charges the bank. The capacity of the battery bank depends on many variables, primarily how much space is available for it & what type of batterys.
The size of the inverter depends on the size of the battery bank & what is intended to run off the inverter & for how long. A 300W inverter is just a toy. I would not consider anything less than 1000W.
With a bus conversion, where weight is not so much an issue as a towable I'd be looking at the capacity of 4, preferably 6, 6V golf cart batterys or similar capacity in multiple 4D or 8D batterys. I'd be looking at a pure sine wave marine 2000W inverter/charger with remote controller.
This set up would allow long periods of normal 120VAC, no air, water heater on propane, use without the clatter of a genny.
Do it right the first time, the only time. Trying to skimp will only cost more in the long run.