It's nice to see you're already rethinking things, because I was going to second the impracticality of some of your wants / needs. Pretty much anything is possible if you throw enough $$ at a problem, but some problems are better addressed one way than the other. The general design methodology that seems to work best w/ solar, regardless of budget, is to aim to use as little electricity as possible
If I were you, I'd choose a generator that runs off the same fuel as your bus. You'll likely be needing it often in your off-grid pursuits. As per your description, you need something you can count on. Outside mechanical failure, a generator provides that assurance. A fickle sun does not.
Everything that can be operated on something other than electric should. Heater in your environment should absolutely be something else. Propane or diesel are both great options (like the gennie, if your bus is diesel, diesel makes real good sense). Washer & Dryer are doable off your battery bank since they don't run for extended periods and you won't die if your clothes are dirty, but you'll be able to reduce the magnitude, expense, & complexity of your system if you relegate them to shore / generator power only. Range / cooktop: propane. Refrigerator: Highly insulated DC fridges with Danfoss-style compressors are pretty much the best bet in terms of efficiency, by a long sight. Novakool is one brand example of these types of refrigerators. Speaking of DC, you should aim to power anything that has to be electric off DC as much as possible, to avoid the inefficiency of converting DC to AC as well as the power required to power the inverter itself (more than most think). Lighting at least should absolutely be DC.
As far as separation of house / bus batteries, you don't really have the option not to, so don't worry about that. Even w/ 12V systems it's not good practice to share banks. But w/ your needs, you'll be wanting a 24V (or maybe even 48V) bank anyway. One thing I think you might be interested in is a battery-to-battery charger, such as the models produced by Sterling. These effectively allow you to charge your house battery bank from your alternator (complete w/ proper charging algorithms for your given chemistry), as well as 'jump' your bus bank from the house bank, if ever required, but in normal operation, it prevents discharge of the house bank through the bus. And they make them in versions that don't require the voltage of the banks to be the same (so you can have a 12V bus bank, and a 24V house bank, for example).