DEFINITELY 7.0gr of Unique will work with those bullets.
I start my load workups with lead recommendations and always end up close the the level of my best jacketed loads when I find best accuracy, so you might want to go closer to the Ranier's data.
I've pushed the 158gr models out of my .357Mag at 1200fps without problems & with great accuracy. And that is with 7.2gr of Hodgdon Universal Clays, which loads almost interchangeably with Unique. That leaves PLENTY of room for your .44 charge of 7.0gr.
"Every moving thing that liveth, I give unto you as meat" (Gen 9:3)
Aim small.........miss small.
Trust God..........but keep your powder dry!