To answer the question of where the AC drains...
The unit itself drips onto a plate with drain holes around the outside perimeter. Condensate will run to whatever part of the plate is lowest, and drip onto the rooftop. If the water collects on the rooftop next to where the AC mounts to the roof and the screws Steve mentioned are loose, water will siphon to the inside of the mount and drip inside the AC cover, then into the camper. Tightening the screws as mentioned should take care of it.
If the problem is from a freezing of the coils (easily inspected by removing the filter and looking up into the unit. you should not see ice on the coils), then your coolant is probably low and having it serviced is required.
Since tipping the camper did not resolve the issue, it's probably in need of servicing.