To answer the question given your stated criteria of; "that would give the most accuracy and velocity, across the majority of bullet weights"
As previously noted for the most accuracy and highest velocity H110 answers the question.
Larry Gibson
Ghee Larry, not according to my math on the velocity:
From the Hodgdon web site: 240 GR. NOS JHP H110 24.0 1522fps
From the Vihtavuori Reloading guide: 240 JTC-Sil Hornady N110 22.1 1541fps
In fact, when you "stack up" the published loads of N-110 as compared to H-110, 60% of the N-110 published loads velocity exceed the H-110 published velocity across all bullet weights when comparing published weights.
And for the life of me, I can't determine how you could possibly say that H-110 would be the most accurate powder that could be shot out of all 44 magnums. Every gun on the face of the planet is different and each gun "likes what it likes". Granted, there are a whole bunch of guns that will shoot their best with H-110. But I doubt that is the majority.
Dave.