My dad bought the synthetic stock handi rifle in 45-70 so far all he has shot out of it is the Hornady LEVERevolution. He sees no reason to shoot anything else. At 100 yds 2 shots touching and third shot maybe 1/4" away. I'm not sure if they make a load for the 444 but if so you should really give it a shot. Just my opinion.
I tried them in my Marlin 336w and had nearly the same result