Overview: Most solar outputs 12 or 24v, so what often happens is solar -> controller -> battery (or bus) -> inverter -> your device.
Batteries: Many batteries are rated for 100ah at 12 volts (so 1.2 kw hours). You would need 2+ of them to run the system purely off them for about an hour. You can buy much beefier batteries designed for residential homes (e.g. 3' x 2' x 1' in size, 10kwh, $5,000+ for lithium, etc..).
Solar: The panels you might see on top of a camper often generate 100 watts each, so you would need 20+ of them to continuously sustain your device. Can be 250 watts or a bit more, so 8+ panels.
I've only worked on electrical for a camper, so could be missing other options! AFAIK your requirements aren't crazy for residential solar setups.