Not many are aware of just how large the bores are in the 44's and 45's. So, you should start at the start with accuracy issues and slug your barrels.
This guy will cast and size with gas checks some very accurate bullets that will match your bore, and you want an over size bullet for your bore, not an undersize.
https://www.beartoothbullets.com/faq/
Also, for shooting for groups at 50 and 100 yards, Merit adjustable diopter will make your sights perfectly sharp:
http://www.midwayusa.com/product/978528/merit-optical-attachment-with-suction-cup
if your sights are blurry, the Merit diopter is the best money you will ever spend in shooting a pistol.
My last Ruger Super Black hawk, 10" SS would group with the bullets touching at 50 yards with a slightly over size cast bullet with gas check using the Merit diopter. Alignment with the cylinder and bore was ok, but not super.
Drop a bullet through the cylinder, if it does not go through, push it through and then mic with a micrometer that reads in the 0.0001, then ream accordingly. You want an over size bullet, and this is why slugging your barrel is so important.
Shooting off a pistol rest, you should be looking for a load that knaws a ragged hole at 25 yards, about the size of a quarter or smaller, and a heavy trigger will NEVER get you there.