Although a domestic fridge is a lot cheaper than a 12/24v compressor one, do you need to run the same big domestic fridge when running off the reduced voltage? Could a small 12/24v additional fridge keep a few bits cold from a couple of batteries? Or gas?? Or do you want a big fridge permanently running from batteries? How big for how long?
Check your laptop power supply, it may well be less than 20volts. Going from a 12v bank to 240v in the inverter to whatever the laptop charger outputs is silly and wastes. You can get 12v laptop chargers, some makes do their own or you can get ones with many plugs on one end, cigrette lighter plug on the other.
Normal caravan leisure batteries max at about 120Ah. The market may have a keen price point around there rather than going a bit smaller? You are supposed to limit lead acid discharge to 80%, ie skim off the top 20% only, if you want to maximise life. Fully discharged as their normal life then maybe they'll be out of life at a year. No direct experience of doing that with lead. We did have I think 225Ah AGMs paired at 24v which we did only skim off the top and they worked fine for three years full time in a camper, 2x110W solar only.
The solar charge controller MPPT starts to send charge to panels above a minimum threshold. Three 12v panels linked to 36v reach that minimum level sooner than one 300W 12v so you will get more charge time from a suitable MPPT, so I've read and set our current camper to do. That has diesel heating, gas cooking and 24v everything else which I thought was the best compromise.
Having had thoughts and experience of home power outage resources, we have a multi fuel stove we can cook on, we can do without the fridge and freezer (although we do have a 1KW genny but that can't run outside all the time) if we have to so I decided we just needed light. I bought one of the Poweroak type lithium all in one jobs when reduced which will run a couple of LED strip lights well enough, one 12v solar panel input.
Lithium can be discharged all the way and they are very light compared to lead if you need to move them but you pay a lot for the privilage. Maybe they won't last as long as a well maintained lead bank either.
My inlaws wrapped their chest freezer with blankets in the 70s with no power for more than a week.
Edited a wee bit.