Since you asked: I don't see the same problem you try to describe. A damp patch( not swab) means a cleaning patch I have lightly touched to my tongue to give it just enough moisture to wipe the pan clean in one stroke. Usually the any moisture will evaporate because the pan is hot from being fired before. If it isn't , then use a dry cleaning patch to dry the pan and frizzen-- you need to be prepared to do this any time its raining, or misting out, and sometimes, even when its just very humid out!
Having cleaned the pan, use your vent pick to clear the hole in the powder charge by running it into the barrel through the vent hole, and giving the pick a twist. Your pick should have at least one flat side on the shaft, if not be actually square in cross section. Remove the pick, and prime your pan again. Just don't cover the vent hole with priming powder. If the vent is located above the top level of the flashpan, this is no problem. You want .030" distance between the bottom of your vent hole, and the top of the priming powder for best and quickest ignition.
If you flash-in-the-pan again, its an indication that the powder charge in the barrel is wet.
Wipe the pan clean and dry it. Then turn the gun on its left side sot that the vent is facing upwards. Pour a couple of grains of priming powder onto the vent hole, and then use the vent pick to push the powder into your hole in the powder charge. you may only get a grain or two of powder in there, but it often will be enough. Now prime, close the frizzen, cock the gun, point it at the ground and shoot off the load. Expect there to be a delay in igniting the main charge. ffftttboom!
Now, clean and dry that barrel much better before putting the next charge down the barrel. If you are shooting one of the guns with a reduced sized powder chamber, you have to have a smaller bore brush, or swab that fits inside that smaller section of the breech. Otherwise, it becomes a collector of crud and moisture, and will foul the next powder charge you put down the gun. Most of these powder chamber breeches can be cleaned with a .30 caliber bore brush or swab. I prefer to use a bore brush, to get the crud loose. I can always wrap a cleaning patch around the bore brush and run it into the chamber and out again to clean and then dry the chamber. That is where having a vent pick that has a flat side on it helps to check how clean the chamber is. I run the pick through the vent, give it a couple of twists, and take it out. If its coated with black slime, the powder chamber gets another dry patch on that brush down it. I will blouse out the patch in the middle, by pinching it in the middle before I put the bore brush to it. That leaves extra material at the front of the brush to soak up and wet gunk in the back of the breech. Just push the sides of the patch firmly onto the wire brush, so that the bristles hold the patch while you start the combination down the barrel.
I hope this helps you solve this corrective problem you think you have. I don't try to set of the " reprime " any other way than by cock the cock to full, and pulling the trigger. When I do have this kind of misfire, I don't try to fire the load at a target for a score. Most ranges have a location on the firing line for firing off bad loads. Use that area, or ask the Range officer to watch while you shoot the load into the ground, or at the berm behind your target stands. The Range officer should be consulted anytime there is a misfire as he is in charge of safety. Whatever he says to do is what you do as far as where to fire the load. If you are practicing on your own, use your common sense. If the ground is full of rocks, find a dirt berm to shoot into. Nobody wants a trip to the hospital because you fired into rocks and the ball came back to bite someone( maybe you!)