I've generally found blue dot and 2400 both give both consistent and accurate results,
with hard cast ,gas check bullets in the 44 special
but usually at near the upper pressure recommendation loads for the 44 spc
be sure to use mag primers
don.t try to push the pressure limits to anything close to what the 44 mag functions at, but you can certainly improve on what something similar too a 45 acp or most factory 44 spc ammo has to offer in ballistics in a modern revolver
keep in mind the twist rate in many 44 caliber barrels is absurdly slow at something like 1 turn in 30, to produce decent accuracy,
with a 240 or heavier bullet in many cases, youll need a faster twist
until you swap to something like a 200 grain bullet, ideally you want a pistol with a 1-16- or-1-18 twist rate and thats rather rare
https://www.midwayusa.com/product/1010275654?pid=582790
https://reloadammo.com/44sloads/
https://www.handloadermagazine.com/44-s-w-special-p
http://www.sixguns.com/BookOfThe44/bot44c43.htm