Some thoughts:
Yes, there are actually quite a large number of folks shooting the Colt 1851 Navy pattern revolver. It was produced originally in just .36 cal; today's .44's are modern variants.
Accuracy is excellent but for one caveat - they shoot high at normal pistol ranges by design. Thus POI will be very consistent - thus accurate - but well above POA. You'll need to shoot with a 6 o'clock hold or even lower. Changing the front sight is an option.
Get a powder measure, experiment with loads to find what your gun likes best, and once found, be consistent in every phase and detail of loading. Little things matter.
Lubed overpowder wads are much less messy than grease over the chamber mouth.
The Colt 1851 Navy pattern design points very naturally. Lots of fun to shoot.
Clean bore, chambers, nipple cutouts and overall exterior religiously after each session. Complete teardown is actually quite simple (Sam's design is sheer genius) but isn't really necessary every time you shoot. I do a complete teardown, clean and oil every 4 to 6 sessions, and at least semi-annually if I don't use a particular gun for a while.
There's a homily about using petroleum based oils. Avoid using them in areas were combustion temperatures are seen; obviously the chambers and the bore. Black powder burns at a lower temperature than smokeless, and low distillate petroleum products (regular gun oil and regular Hoppe's No. 9, for instance) end up only partially burned - the residue is tar and a pain to remove. That said, high distillate petroleum products do fully burn at black powder temperatures and so are excellent solvents and rust preventatives. These are generally mineral oil type liquids; products such as Ballistol, Hoppe's No. 9 Plus, Butch's Bore Shine, Thompson Center No. 13 & No. 17 solvents, Bore Butter, even machine cutting oils and vegetable oils. One last point: it's ok to use the lower distillate products so long as they are not present in the combustion areas when the gun is fired, so if that's all you have go ahead and use it. Just make sure to run an alcohol soaked patch through the bore and chambers before firing the gun the next time.
Black powder combustion residues are fully water soluble. Period. You don't need strange concoctions of Murphy's Oil Soap, Simple Green, WD-40, Windex with or without vinegar, thousand island dressing, alcohol, hydrogen peroxide and whatever else. Really. If it makes you feel better to use them, go right ahead, it's your money and they won't harm your gun.
Don't take this personally, but it might be worthwhile investing in a good tooth whitener - you'll be grinning from ear to ear.
