How's things down on the Levi Big Ugly Tall Texan?
Being Big may be the reason your gun shoots less high. Weight holding it down. Maybe a firm hold on it.
My guns shoot higher when I grip them lighter. Less high when I use two hands instead of one. Must be the extra arm of weight helps hold it down.
Anyway being big can help hold it down.
Being Ugly may scare it into submission too.
Try cussing at it and see if it shoots 10X every time.
It's easier cleaning a gun that shoots good. Actually the cleaning can be shortened if you get the cylinder and the barrel cleaned right away and let the frame,after wiping off the outside, and the arbor wait till later.
I get Butches Bore Shine for Blackpowder. It almost gets the crude off by saturating and then flushing with the facet. Cuts the cleaning time down. Good Stuff.