I much prefer to use a .380-inch ball in my .36-calibers. It cuts down on the logistics of storing and carrying both .375 and .380 inch balls.
My Colt 2nd generation 1851 Navy has chambers that require a ball larger than .375 inches. In the original Colt instruction booklet that came with this revolver, Colt suggests using .378 inch balls.
Now ... ah esk ya ... where DO you find .378 inch balls?
My other .36 calibers will take a .375 inch ball okay, but they show a decided preference for the .380 ball where accuracy is concerned. I believe the wider bearing surface created by the swaging of the .380 ball is a real benefit.
The need to keep fouling soft is crucial to accurate black powder shooting. If you shoot nothing but a ball, without lubricant, on a hot day you will quickly see fouling build up and accuracy drop off.
Keeping the fouling soft allows the bullet to push it out with each shot, rather than the fouling getting ironed into the rifling grooves if it's dry.
In my experience, a greased felt wad between the ball and powder keeps the fouling softer than placing a gob of grease over the ball. I believe this is due to the heat of the powder "boiling out" the lubricant from the wad, as it travels down the bore. The felt wads I've recovered are quite dry.
Cornmeal is good. When I use light loads I seat the greased wad on the powder as usual. Then I add cornmeal to within 1/4 inch of the top of the chamber. If it's closer than 1/4 inch, no worries. Corn meal compresses and will compensate. The oft-recommended Cream of Wheat doesn't compress, so you have to be exact. I prefer corn meal, for its compression advantage.
I'm not familiar with Farina.
Some years ago, I loaded the cylinder of my Colt 2nd generation 1851 Navy with FFFG black powder, greased felt wad and .380 inch ball. I pinched some CCI caps into an oblong shape and firmly seated them on the nipples.
Then I left that cylinder outside, under cover, from spring through fall. Highs in the shade reached 100 degrees (38 C) and lows were near freezing.
In late October I fired that cylinder and all chambers went off as expected. I could detect no hangfires or reduced-power loads. None of the chambers showed a speck of rust, either, from their bare contact with black powder.
Under the right conditions, I suspect a loaded cap and ball cylinder could fire decades after it was loaded --- just like most ammunition.