I found some interesting POVs here, but quite a lot of misunderstood stuff as well so here's my input FWIW.
Stainless or blued doesn't matter, from a cleaning POV. You'll have to clean anyway whichever you have. Not because of rust or anything, but so It'll continue to shoot! Most C&B revolvers will bind up to varying degrees after 3~4 cylinders & so you'll have to clean anyway just to keep shoting.
Cleaning between shoots is just damp patch through the bore, another one through the chambers, & wipe down the rear face of the barrel & the front face of the cylinder wipe again with a dry patch.(2 minutes.)
Blue is NOT a tradditional finish, btw, most guns back then were bare metal or brown, so from a cosmetic standpoint get what is visually appealing to you.
Cleaning B/P at the end of a day's shooting has been turned into the chore from hell which, if not done correctly will destroy yoour gun overnight. This is rubbish, quite frankly. I've found that B/P is so much fater & easier to clean than modern smokless that I now find shooting modern more time consuming at the clean up stage.
Can you make B/P cleaning a labor of Herculese? Sure, but why would you? I pop the cylinder out & unscrew the nipples (3~4 minutes).
I remove the wod grip panels if at home (1 minute).
Then I dump everything (except the wood) into a bucket of hot, soapy water.
Next I take a cleaning rod & a patch rubbed with the soft soap & run it through the bore 3~4 times. (1 minute)
Now using the same patch run it through all 6 chambers 4~5 times. (1 1/2 minutes)
Take a clean patch & repeat both the bore & cylinders. (2 1/2 minutes.)
I use a toothpick to hold each nipple & a toothbrush to give it a quick scrub in the hot, soapy water. (5 minutes).
Dump the hot dirty water & refill the bucket with hot clean water. (3 minutes)
Put all the parts & insert & shake, reaise & drain a few times. Flick & shake of extra water. (1 minute).
Wipe everything with paper towels, Use clean, dry patches for the bore & each cylinder. (3~4 minutes).
Slather everything with synthetic motor oil drip it into every nook & cranny. Wipe everything down with a dry rag so the oil gets smeared everywhere. (5 minutes).
Put a dab of grease, never sieze or whatever on the threads of each nipple & screw in. (2 minutes).
Put the grips back on (30 seconds).
You're done, thats a thorough deep down cleaning done at the end of a day's shooting.
Here's my 1858 Remmy after being shot a lot & cleaned this way for a couple of years now. See any rust? I dont. For metal to rust you need metal, air's oxygen & moisture, break the triangle & rust can't form. Thats the job of the oil to cover & blanket the metal.