For pyrodex or 777 I use the same method at the range or in the field: One "spit" patch (both sides) followed by 1 dry patch (both sides).
There are a lot of variations on this. For instance, you can use a patch soaked in cleaner (T/C #13 or windex, etc) kept in a ziplock instead of using a real spit patch. Personally it is just easier to lick one side of a patch to wet it, run that side down, flip it run that side down, then do the same thing with a dry patch.
The trick with either is to use short strokes and slowly work your way back to the breech. If you jam it all the way in one stroke, you might get the patch/ramrod stuck in the "crud ring".