You may find you need more than a 2kw generator for any half decent band setup.
I bought this:
https://www.bjs.com/product/champion-power-equipment-9-375w-peak-7-500w-rated-gas-powered-portable-generator-with-electric-start/248604
Ran it for 2 weeks 24x7 at about a 5kw draw without issue. Used 5 gallons every 8 hours at that load. It’s not quiet, but it’s a bit beefier than the little Honda’s.