In this game, the ultimate goal for a single battle stat can be said to be either 500t or perhaps 1q, due to the SE gain cap of 5t. Anything beyond that is just coasting in the endgame.
I suggest an honor for each stat that reaches 500t or 1q. One could argue 1q is the better choice because it's a rounder number, and one could argue for or against 500t being the better choice due to its exact correlation with having reached the SE cap. I would recommend 1q, personally.
Possible names: Unstoppable Force (str), Immovable Object (def), Inevitable (spd), and Transcendent (dex).