I'd start with a .440" ball and a 16/1000ths. to 17/1000ths. lubed cotton patch. This patch thickness will "scrunch-down" to maybe 6/1000ths on either side of the ball when compressed between the ball and the barrel. This will give you a solid-but-not-too-tight-fitting patch/ball combination when pushing & seating the patched ball down the barrel which will require reasonable effort to load and still put a good "spin" on the ball.
At the same time, your patch will be thick enough to withstand the blast of the powder and the "ride" up the barrel without failing. Make sure you "collect" some of your used patches from the area in front of the rifle for later inspection.
If any of your patches are "burnt-through", try using a thin vegetable-fiber wad between the powder and the patch when inserting your load in the rifle. However, with sufficient patch thickness, you shouldn't have any trouble "burning through" your patches.
You may need to go to a slightly thicker patch, but you may also find the patch thickness I've recommended will serve your purposes quite well. Buying & trying different thicknesses of patch-cloth is considerably less expensive than buying and switching rifle balls.
In fact, when you go to the store to get your patch-cloth, either a big box retailer or possibly a better choice would be a retail sewing center that sells cloth, I'd recommend you buy several different thicknesses of patch material within a short range of thicknesses (let's say from 15, 16, 17, 18, 19 and 20/thousandths of an inch)and try each one at the rifle range.
You don't need to buy a large amount of these initial different thicknesses of cloth purchases. Buy enough to enable you to make at least 25-30 shots... or up to 50 shots, but no quantity greater than that. Any cloth not used can be used for cleaning or wiping cloths, so there's no "waste".
I've found the above methods tend to cut down considerably on the time and effort in correctly getting and determining the single, best patch thickness we need for our special kind of shooting enjoyment.
I've found that cotton denim cloth is tough and works well, but 'most any COTTON cloth will get the job done just fine.
Strength & Honor...
Ron T.