"Holy Trinity"? I LIKE it!
+1 to what SLAMFIRE and SGHART3578 said.
If not Bullseye, then Red Dot. If not Unique, then Herco. If not 2400, then one of the 4227 powders.
Bullseye and Unique have earned a reputation for burning dirty, but I think it's largely undeserved. I notice that heavier projectiles, heavier crimps, and heavier loads will cure most of the problem.
I prefer 2400 over H110 because I can approach magnum-level loads more gradually with it. With H110, they recommend reducing the max load by no more than 3% and working up, to avoid hangfires. I can reduce max charge weights for 2400 by a full 10% and work up, as is almost universally recommended in most reputable reloading manuals. Additionally, H110 seems to work better with magnum pistol primers, and 2400 (again, in MY experience) just doesn't seem to care what it's ignited with.
In magnum-level loads, it is probably true that H110/296 will generally give higher velocities at the top end than 2400, but I have yet to see a situation in which the velocity differences would matter (perhaps when shooting the 200 yard ram in silhouette competition?). Additionally, 2400 can usually be used to make standard velocity loads, when a medium-burning powder isn't available. It's wasteful, but better than being unable to reload ammo at all. I wouldn't THINK of trying mid-range loads with H110/296.
The reputation that Unique has for "metering like cornflakes" deters many from trying it. Some of the most accurate loads I've made for ANY pistol were made with Unique, and any inexactitude in charge weight from one case to the next is pretty trivial if charge weights above 4 or 5 grains are used. Indeed, my .45 Colt carbine load is 8.0/UNIQUE/250 RNFP, routinely prints teacup-sized 5-shot groups at 100 yards, from a bench. Not so, with equivalent charges of other better-metering powders.
I have also used AA#5, which is apparently as versatile as Unique, and meters much more smoothly. If I didn't already have a ka-gillion loads already worked up with Unique, I'd be tempted to switch.
I have no experience with Alliant's new BE-86, but it appears to have approximately the same burning rate as Unique, and may meter better. I think it also contains excipients which combat muzzle flash and copper deposition, but I'd have to re-read the info to be certain of both of those. In any case, if Unique or Herco were unavailable to me, I'd happily give it a try.