Try this for a Double Charlier... It's slightly slower than it could be, but it still works. Start off normal Charlier, but instead of pushing the bottom packet over the top and closing it, push the bottom packet up but not over; use your thumb to push the bottom packet against the side of the top packet instead of entirely over it. Remove the index finger underneath; by focussing thumb pressure on the top half of the side of the top packet, the bottom half of the top packet should drop, forming a triangle. The removed index finger can then pick up the dropped packet à la the normal Double Charlier and then close it, or continue in the same manner for a Running Charlier.
I have no idea if anyone's published that idea before, I'm fairly new (a year) to flourishing anyway, but that's how I perform it...