The .38-55 was originally introduced by Ballard, some time in the 1870s and was for many years a popular match cartridge along with its little brother, the .32-40. Both were 'borrowed' by Winchester and brought out, as Winchester developments, in the Model 1894, but both were actually Black Powder rounds from many years before.
Many of the old-timers used to reload Black cartridges with smokeless, using the DuPont Bulk powder. Alas, it has not been available for the last 80 years or so.
But there also are SR powders, just a few: Sporting Rifle powders. These are descendants of the old-time Bulk and one of the best is SR-4759. SR-4759 was, for many years, the standard smokeless powder for reloading Black-powder rifle cartridges. Originally a very bulky powder, it has been revamped a bit recently. When I started reloading (1965 or so) SR-4759 was sold in a one-pound-size can that held only half a pound of powder. It was/is very bulky. I notice that it is now being sold in one-pound plastic bottles, so likely that has something to do with things, the plastic bottles generally holding quite a bit more than a single pound.
SR-4759 is the perfect powder for reloading Black cartridges. No muss, no fuss, no fouling, no unburnt powder. Pressures are low and velocities are the same as with Black. You use it in a 38%-of-Black formula. The .32-40 would be loaded .38x40=15.2 grains by WEIGHT. For .38-55, you would use .38x55=20.9 grains by WEIGHT. It is very bulky; did I mention that already?
This was for many years the formula used for loading smokeless-for-Black. Many of the old loading books contain smokeless-for-Black loads and if you work them out, you will find that this formula works on all of them. Pressures and velocities are the same as with Black.
Hope this helps.