All I can speak for is my Knight USAKrifle, butit likes 777 the best. Like cayugad, I've shot about everything out of my rifle (including the Black Mag 3) - some of it works well, some not so well, and some just plain stunk (stank?) in my rifle. By & large, I think the actual gun will determine which powder works best, not the bullet.
In my Knight, saboted bullets up to 300gr, ALL powerbelts, & all conical bullets want the 2fg 777 powder, while any sabot over 300gr does best with 3fg 777.

I've also gotten nice accuracy out of CleanShot/American Pioneer in the past, but moisture contamination became a problem for me with it so the switch to 777 was made and there have been no issues ever since.

Shooting most of the new substitutes (777, BM3,APP, & Pinnacle) is much cleaner, making reloading and cleanup easier - which is always a plus. But to know for sure, you just have to try each in your guns to see which works the best.
For me, the BM3 was VERY clean shooting - but it's performance and accuracy was BAD out of my rifle. Others have gotten terrific results with it though - there is only one way to know for sure.....................experimentation.