Personally, I've always used H110 for full house loads. For decades, H110 was known for getting the highest available velocity for .44 magnum.
However, H110 is a very unforgiving powder, especially for new handloaders. Most new handloaders seem to err towards the side of loading charges that are too light rather than too heavy because people are cautious about making their gun go KABOOM.
H110 has a much narrower range from min to max than most loads. Most powders have a starting load roughly 10% under maximum load. Hodgdon warns loaders to not go less than 3% under maximum. If an H110 load is too light, it can also cause detonation or a squib. I had an H110 squib once when I was first handloading. I am on the road and do not have my reloading notebook in front of me, but I think I was starting around 22 gr for a 230 gr bullet which was too light when I got the squib.
Last time I chronographed it, if I recall the charge correctly, I was using 25.0-25.5 gr and getting 1550 fps.
Hodgdon posts the following on their website:
For those loads listed where a starting load is not shown, start 10% below the suggested maximum load and then approach maximums carefully, watching for any sign of pressure (difficult extraction, cratered and flattened or blown primers, and unusual recoil). H110 and Winchester 296 loads should not be reduced more than 3%.
Reduce H110 and Winchester 296 loads 3% and work up from there. H110 and Winchester 296 if reduced too much will cause inconsistent ignition. In some cases it will lodge a bullet in the barrel, causing a hazardous situation (Barrel Obstruction). This may cause severe personal injury or death to users or bystanders. DO NOT REDUCE H110 LOADS BY MORE THAN 3%.
Another classic powder for .44 loads going all the way back to Elmer Keith days is 2400. 2400 is a much more forgiving powder that you can download substantially for a range of velocities. It will not quite achieve the same max as H110, but it is close. 2400 is more versatile for speeds anywhere from 750-1400 fps.
L'il Gun is also supposed to get superb results with .44 Magnum, but that isn't a powder I've ever loaded. For low-range loads, I know people will also use Unique, but I far prefer using Hodgdon's Universal instead of Unique. It burns cleaner and meters cleanly. Hodgdon posts 6.5 to 10.2 grs Universal for a max of 1276 fps using Universal.