I shot blackpowder cartridges, mostly .38 Special, for 20 years in SASS cowboy action competition. I always loaded lead bullets lubed with beeswax/crisco. Alox and conventional smokeless lubes will allow blackpowder fouling/residue to harden. I never used jacketed bullets with blackpowder in a swing-out revolver but IF I were going to do it:
1. Fill the case to seating depth. Contact is good, compression not necessary. I used Lee dippers but you can make your own dipper by trimming a case to the length that holds the amount of powder you want.
2. Coat the inside of the frame ( immediately surrounding the cylinder) with smeared Mobil 1 red grease. It will allow you to wipe out 99% of the blackpowder gunk with a paper towel after shooting.
3. Invest in a spray can of Ballistol. Spritz the cylinder inside and out after every 6 shots. Spritz the barrel after every 6 shots also, and pass a patch down the bore to remove most of the Ballistol/crud mix before you shoot the next cylinder full. By treating the cylinder and barrel with Ballistol so often, I expect you can get by without lube on the bullet.
As others have recommended, clean the gun thoroughly after shooting. Soapy water is the usual blackpowder cleanser, but any other solvents should also work. Remove and disassemble the yoke and cylinder, including the ejector rod. Remove the sideplate (careful if you haven't done that before; don't pry!) and spray the internals clean with brake parts cleaner. There shouldn't be all that much fouling on the inside, that's one of the reasons you lined the frame with Mobil 1 grease.
I bet you will decide it was fun, and worth the bit of extra effort. Hope you will post a range report.