There would not be much sense in trying to clean a toilet's trap with a 50 foot snake. A plunger and a closet auger will be more than enough to clear a toilet. If you need to clean a main line, you do it through a cleanout or you pull the toilet.
2" too much for a reliable "quick fix". Do you have any access from below? If so, I would cut out the riser, build up the hole in the floor and re-install new with the flange on top.
What the other options are would depend on the accessibility, position of the closet bend, and what kind of pipe you are working with.