In lieu of any real heuristic, it would be useful IMO for the different words using a Kanji to be sorted by the number of sentences. This will marginally speed up finding what words this Kanji is actually used for, but also give some very slightly indication of where this Kanji shows up; knowing the sentence back isn't comprehensive of course.
This was motivated by looking at the Kanji for 書 and seeing かく with 1000+ sentences but appearing at the bottom of the list