My 444 likes the Hornady Superformance 265gn factory loads.
The closest load data I've found to duplicate the Hornady's Factory 'Superformance' 265gn FN bullet load is
Vihtavuori's N-120 & N-130 powder.
I went with N-130. As I got closer to the top end powder charges the velocity was +2400fps but the brass was getting getting sticky to eject.
Lee's Modern Reloader data says N-130, from 47.7 to 53.2gn, is a compressed charge. After I read that, I started using a powder drop tube and re-shot the load ladder, the numbers where a lot more consistent.
Settled on an accuracy node at 2282fps - chrono 5yds in front of muzzle.
Hornady has discontinued the #4300 265gn FN bullet, I did find a couple boxes before they totally disappeared. With Covid shortages, a lot of my other favorite 44cal bullets are 'out of stock' every where.
So for relatively inexpensive trigger time/plinking/gong ringing with the 444 I use H4895 & 240gn Campro bullets. Just keep your breach pressure less than 44Magnum and your good to go plinking.
My 44's
Marlin 1895 444Marlin
Marlin 1894 44Mag/44Spl