No, it wouldn't be that one. The Police model is the next larger size of Remmie. Smaller than the Belt model or the Navy or Army models. I think they are neat but the best is the Belt model which is a .36 cal six shot revolver. That one would be great!
They are pictured and dscribed in Chapter 2 of Bruce McDowell's book on conversion revolvers.
P.S; Just to clarify, Remington made FIVE frame sizes; (Not an X-spurt" so bear with me.)
1. "Pocket" .31, 5 shots, spur trigger.
2. "Police" .36, 5 shots.
3. "Belt" .36, 6 shots,6" bbl (I think) Also made later in double action.
4. "Navy" .36, 6 shots, 7.5" bbl.
5. "Army" .44, 6 shots, 8" bbl.