I reload a lot of .44Special.... That said,
Powder is hard to come by now-a-days... So I understand why you may be tempted to use H-110/296 with the .44 Special if that is what you have. However as stated above H110/296 is an all or nothing powder and is not appropriate for the .44Special. Works great for full throttle .44Mag or .357 type loads though. With a 200g (light bullet), you want a faster burning powder such as Unique , 20/28, Universal, Titegroup, etc. class of powder. If you want upper end .44Special loads, go to the 240g bullet and use 2400 or 4227 to meet your needs. You can get to the lower end of the Magnum range with these powders... but it will depend on the revolver. No way would you want to go there with the CA Bulldog for example, but a Ruger .44Special will easily digest the Keith load. I load 6.0g of Unique under 240g SWC for my Bulldog, and the Skeeter Load (7.5g Unique under 240g SWC) for my other .44Special revolvers. That said, if you are new to reloading, please stick to what is in the manual and always cross-check with at least another resource (another manual, etc). You'll never go wrong reloading this way.
Note that a manufacturer will never have EVERY possible powder tested with a particular bullet. Would be to costly. For example, I like Green Dot a lot, but you won't find many manuals to reference it, yet it is a perfectly fine powder for many pistol/revolver cartridges. 20/28 is a great Unique substitute like Universal, but you won't find it in many (if any) manuals. Do your research and again, when first starting reloading ... stick with the recipes in the manual(s). Plenty of time to research other powder usages down the road.
Hope that helps a little bit.