In looking at the trajectory of the .444, with different bullets, I would point you to the retained velocity/energy levels of those bullets at the 200+ yards you mention.
Both the .44-290g LFNGC and the .44-330g LFNGC bullets are superb long range performers. We harvested a nice whitetail buck here at a range of nearly 220 yards this fall with my posted load using the .432"-330g LFNGC bullet. Sighted 3" high at 100 yards, the drop at that distance was only about 3" below point of aim. The .44-290 isn't far behind.
In all fairness, I haven't had the chance to wring out my high velocity .44-280g WFNGC loads at longer ranges... this winter has been VERY cold and lots of snow. When I get the opportunity, I'll post results...
I would stick with the heavier bullets for your longer range hunting work.
You already have the 330g pills, give them a try at your 200 yard range and let us know what happens.
God Bless,
Marshall