44 Special is not well supported by ammo companies these days. Consider buying an inexpensive loading setup and rolling your own.
Although I am sure some company out there loads them...or should, I don't see anything available off the shelf with the best 300gr LBT bullet design.
That's what I would recommend.
And, from what I am seeing, considering the high cost for factory loads, the loading equipment would pay for itself within 100 rounds.
Anyway...just a thought.
TC