For the components that you have and the speed youre looking for, I would start with Unique and see how that works for you. Youre going to get very consistent loads around 11.5 with a 240 and very clean shooting. Next I would try 2400 on the low end of the charge range with a 240 as I dont think Unique will get you to 1200. If you can scare up some HS6, I would choose that over Unique to get to your target velocity.

Im recoil sensitive, so Im not shooting H110 in pistols these days. It is the most accurate in my rifles though.