There's no good option that'll fit Both home and travel use... anything that can keep your fridge running for 3 days at home will be too big to take with you (on the battery side).
On the gas side, everyone hates "that guy" when camping.... of course, if you're on the east coast you'll be just another genny in a sea of them.
I'm battery for camping, but uses are limited to fans and lights 90% of the time, the little power my diesel heater uses for heat, and then charging random small items (phones, ebooks, cameras) and most recently powering a mini projector (I camp in a van). I recharge while driving directly off the Alt... 100ah LiFePo4 was $500 (aliexpress), Renogy 40A charger was $150, wiring and misc was another $50-ish. I can make it about 3 days without charging (4 fans, multiple lights), and it takes about 2 hours driving to fully recharge ~ i usually need food and ice by 3 days anyway so this works perfectly for me.
For home, I don't worry about it as it's been decades since I was last in a multi-day power outtage. My folks suffer a lot more power outages in rural Montana and put in a solar system and batteries to keep their fridge and freezer running. It's just easier for them as 80y/os when their whole property is electric-only already.
Anyway, might consider running one for camping and one for home. I've seen several DIY LiFePo4 portable battery systems on the Tube if you don't want to do a hard integration on the vehicle. Take the remaining money and buy a big gas genny for home (or nat gas if you're in town).