Get Handloader Issues 236 and 260.
Handloader has two extensive articles on loading the .44 Special, and they identify three PSI levels of loads. They should be in every .44 Special reloader's references.
Since loading Unique drives me nuts (I don't get reliable weight variance), I use Power Pistol, and that provides the kind of 22,000 psi (level II) load I prefer with a 240-gr lead bullet. Other reloaders can't abide PP because of its flash, so I would look into AA#5. 2400 also has a lot of recipes in the articles, but I typically don't work with it in any caliber.
In sum, a medium-speed powder will probably work best for your performance level, IF you want to subject your alloy frame to higher-pressure loads. My guns happen to be SS and Scandium, so I worry less about the pressure levels.
I just checked my recipe database and confirmed that to get the performance you want, you will be working with Level II pressures--e.g., <=22,000 PSI, not the 15,500 PSI SAAMI / Level I loads.
But, whatever pressure level you want to work at, get the Handloader issues--they simply are priceless for work in this caliber.
Jim H.