Enough bragging, let’s stick to plumbing stuff here, haha.
Just kidding!
But actually, you can take the toilet off and run a longer snake down there.
But that is lots of work, or expensive to hire out.
You can make a home-made device that lets you snake right through the toilet.
Buy a two foot long piece of two inch pvc.
Cut a 45 degree bevel on one end.
With trial and error, gradually build up the beveled end with duct tape, until it fits tightly when jammed into the bottom of the toilet.
It might take a whole roll, but make the wraps gradually more loose and twisty, so there is some give to the whole thing.
With the bevel cut end facing up, where the snake will have to exit, jam that pipe into the toilet.
Lay the two foot pipe down onto the rim of the bowl, and duct tape the high end down onto the rim.
Now you can safely run a heavier manual drain snake right through that pipe, into the toilet trap and down the drain.
Without scratching up the toilet.
I have thought of trying to patent this invention, but for now, try it for free!