While I did suggest using the fuel tank as a water tank, I know how delicate the one way bearings on these Kawasaki engines can be. I had to replace them twice on my Vulcan 500. Not fun.
Starting on gasoline would be easiest and then switch over to charcoal. Then you could use the engine as a way to prime the gasifier, on an updraft charcoal system this isn’t an issue. I never used a blower for the updraft on my Mazda.
If I crunched some numbers and used propane tank bodies for the gasifier, a reasonably tall system you might get away with 15 gallons or 3 20lb tanks welded together. Or use an old air compressor tank around the same diameter.
Assuming you start to get hot gas after it goes half empty with an average 6lbs per 5 gallons density of fuel(my average), that’s 18lbs of charcoal filled to the brim, 9lbs per refill if it goes half empty.
With my Mazda that would take me 18 miles. Let’s assume you manage double that economy with the Ninja 250, that’s 36 miles of combined economy driving in a town. My Mazda got 2~ miles city driving per pound of charcoal.
With 4x that efficiency you’re looking at 36 miles before needing to put another 7.5 gallons or 9lbs of charcoal back in.
I ran a mixture of wood species in my charcoal, you might be able to get a better density if you only use dense hardwood for the charcoal stock. But then it’s only percentages of gain that I personally consider diminishing returns in the search for wood to burn. If you can source a lot of hardwood then it would be worth it.
To put into perspective how tall 15 gallons at a 12" diameter tank would be you’re looking at something about 3 feet tall minimum. 20lb tanks are 1ft by ft.
The rectangular ammo cans are a good candidate, and you could extend the hopper horizontally so as you lean in the turns it will jostle some fuel into the hopper, but I want to say the most reasonable sized ammo cans I’ve found only hold about 10 gallons, I’d have to measure the ones I’ve bought to figure that out.
A downdraft charcoal gasifier won’t get you better mileage, only the insurance of accidentally adding bad charcoal to the mix and not making tar. They’re heavier on average and the nozzles burn away very quickly if you don’t use a material like silicon carbide. All the space used up for one takes away from hopper capacity as well. With a car or truck it’s worth the weight and size difference but on a motorcycle I personally think an updraft is ideal for the weight. That’s just my opinion though it isn’t backed up with any particular empirical evidence.
Edit: to put things into perspective here’s one of those ammo cans. It’s 32" tall and just barely over 9 gallons in capacity.