Aren't we having this discussion on the other group...
Outside of a couple months of the year in Alaska you'll have trouble running a fan at night with a solar panel. But, they do make good solutions for keeping the battery pack charged.
I'd not even consider a wet cell battery. A Sealed Lead Acid/AGM/Gel Cell would be fine, but the power densities are low, and inverters can be inefficient. At the end of the day I recommend doing MATH, figure out how many Watts each device takes, and how many hours you need it for between recharges then multiply each together and add them all up, and then add at least 30% for the Inverter, then double it to not overly discharge the battery and then you have the battery Watt Hour capacity. Then multiply the battery amp hours by the voltage if the battery doesn't provide watt hours directly.
For actual batteries, you can roll your own. Goal Zero makes some nice Lead Acid and Lithium systems at stupendously expensive prices. I have a '500' Wh Lithium pack from Suaoki with built in inverter and Solar charge controller.
I'm fairly comfortable with taking it in the plane with a few caveats: Never discharge or charge in the plane. Never fly with it fully discharged or charged(shoot for 80-90%). Don't take it right off the charger and take it flying, let it relax and cool first. Don't take it flying after midnight. Never transport it damaged. Make sure it's secured to not bounce around. Keep it out of the sun(especially when flying)