May be an odd comment, but do you think it is clogging because of the volume or the size? I've heard of people keeping a "poop knife" in the bathroom that they use to cut up excrement to make it flush better.
A few suggestions: A bidet seat for rinsing after leaving a large "deposit" can cut back on the amount of toilet paper you use.
It is possible that the toilet trap still has something stuck in it and its also possible that your toilet just sucks.
You want a toilet with at least 900 MaP score. If you decide to replace it, the Toto Entrada is a decent one. It comes in chair height and has a 1000 MaP score. We got one for my friend's house when his 50+ yr old toilet he pulled out of the trash got clogged beyond repair.
Another thought: Is it possible that the drain for the toilet isn't vented properly?