Every shot I shoot through my inline is from a clean barrel...With my flinters I go with a thinner patch, but that's another story....
Guess I'm bragging, but I'm kinda the go-to guy when my buddies have problems with their guns, whether modern, sidelock or centerfire...They usually just bring them buy the house and let me go over them...
With an inline, I run 3 dampened patches of rubbing alcohol (both sides), then a dry patch followed by a lightly oiled patch and finally another dry patch...This makes sure the barrel is lightly oiled like it will be when you load up that first shot...I know some guys worry about that 2nd shot, I don't, never have...I carry a ziplock bag in a vest pocket with everything I need to clean the barrel again before I load up again...It really only takes maybe 3 minutes to pull out this bag, clean and reload...Then you are ready for that 2nd deer...

Assuming you have a 2 deer a day limit...
Frankly, with my Knight, shooting 250 Shockwaves, I can't load a 2nd round without cleaning, it shots so well with a clean barrel I don't even attempt it...
Now, I have learned that I can do a quick spit patch and get decent accuracy on a 2nd shot, but you don't want spit and black powder in a barrel for long...