If nothing else works, you can use liquid drano. Our owners manual says to use it. It has to be the version that does not attack metal and NEVER dump it into an on-site septic disposal system. After you've put in into the tank, you need to tow it around a bit to agitate it before dumping.
We had a hopelessly plugged black tank last year and used it. Looking down the toilet after, the bottom of the tank was spotless. Highly recommended for stubborn pyramids...
The trick is lots of water before use, lots of water during use and lots of water when dumping (fill tank up) and don't head home until it's really clean inside. There's many different dimensions and configurations of tanks and some are just harder to get flushed out, like what we have now. On our first TT we never had any problems dumping and flushing the tank.
Sounds like you don't have an in-tank flusher. You can get a Tornado flusher that you can install on the side of the tank if you have access. You can also put a wand that goes into the toilet and attaches to a hose. Can't hurt to try a Hydroflush elbow and even if it doesn't work, they're good for inspecting what's coming out to see if solids and TP have stopped draining out.