I recently found a small leak around the base of my MH toilet. I tightened down the securing bolts without success. The water-line and angle stop-valve are dry. It seems that the rubber gasket, (which seals when the toilet is not being flushed) inside the bowl itself may be leaking. The few drops - perhaps a few teaspoons - appear from time to time and may be related to whether there is 'a small amount of 'standing water' left in the bowl after flushing. However, I am unsure how to go about disengaging the flush mechanism and 'ball valve' to replace the seal. Further inspection is warranted.
I would dry/remove any water from the bowl, after flushing and see if the water still puddles around the base.
I don't know how your Coachmen is set up, but the sink waste should be gray water and the toilet waste, black water. The two systems may not be inter-connected, so washing dishes and toilet puddling may not be related, just a coincidence, and occurred because the toilet had been used (leaving standing water in the bowl to leak out).
BT