This was our experience at the 2011 Michigan rally:
Our tank would not drain. I used the gate valve and applied back pressure through a garden hose attached to the valve. The tank would not drain, in fact the water was higher in the commode. The tank would not drain.
I put water down the drain vent on the roof. The tank would not drain.
I disconnected the cable to the black water tank gate valve and opened and closed the tank gate valve by hand. The tank would not drain.
We called a septic tank service and they put a hose down the commode and the tank started to drain.
We were not using enough flush water to push the toilet paper down the drain pipe. Since the drain pipe has an elbow in it, the TP was accumulating and eventually clogged the drain. When I used the Valterra back flush, it pushed the TP up from the bottom and compressed the blockage. The water from the roof, down the vent pipe, probably compressed the blockage also. So using the back flush and the black tank cleaner did not work, there was a vacuum formed and the tank could not drain.
Removing the TP buildup from the commode side, let air in and the tank then drained properly.
I regularly use the black tank drain and the back flush. But these only clean the tank and the bottom drain. They do not clean the pipe above the tank.
If your commode is backed up and drains part way every few hours, you might be able use a chemical that works in holding tanks to help emulsify solids. This might get the pipe open enough to allow air passage. Then when the tank starts to drain, use a water hose through the commode to clear out the upper drain pipe.
When using TP, make sure you use a lot of water to flush the toilet. Using only a quick step on the peddle will not be sufficient over the long run. If you are going to use TP (some people to do not put TP in their commodes), then after the initial flush, fill the commode half way and flush again.
If your commode is working properly, once a month, use a hose to thoroughly flush the drain pipe.
This is the full version of story about our drainage problem at the rally. I told Jim Beletti that I would tell it some time so that ours could learn from our experience.
I hope everything comes out okay for you.