After speed reading through these posts, if I understand correctly, your bowl won't flush, but the tank is empty? So the blockage is between bowl and tank? If that's the case, all you can do is get in there with something to break up the clog, like a plumber's snake.
After that, you want that toilet paper to break down, so add water, which you'll be able to after you break up the clog, or through the outside tank rinser hookup you have, and let it sit, and sit, and sit.... If you can, let it sit for a few days. Eventually the stuff will break down, it just needs time. I've also read that RV-Digest-It can help, but I haven't used it myself so I don't know.
If you're in a destination trailer than the ice isn't going to help. The trailer needs to be moving to slosh the ice around inside the tank and let it bang up against the walls. Can't do that with a trailer that doesn't move.
Instead, in the future you'll have to rely on lots of water, and lots of pump outs (if you don't have sewer). Over time, once whatever's in there has broken down, you'll eventually get used to right balance of water to keep your 'stuff' underwater, but not too much so you can go longer between pump outs, but it's going to take time and a lot of trial and error.
I hope you get your issues fixed.
There's no use crying over spilled milk, unless it's on your keyboard.