What might help in the short tem is to change your shooting technique. Hold the gun in your strong hand, as close to in line with your forearm as possible. Wrap your weak hand around the grip with the fingers of your weak hand over the fingers of your strong hand. Rather than attempting to shoot he gun DA, pull back the hammer with the thumb of your weak hand, then lay the thumb of your weak hand above the thumb of your strong hand so that it points upward, along the frame over the cylinder release, then when the sight picture is correct fire.
Looks like the front screw that holds in your rear sight might be damaged or missing, judging from the picture.
With heavy 44 loads, I find the narrow Pachmyer grips uncomfortable. I also found that the Ruger factory grips which have the wood panels set inside the rubber grip were more punishing than a solid wood grip.
The Red Hawk measured 27/8" from the back strap to the face of the trigger. The Smith measures 31/8". My SBH is out for tweaking, but it is a shorter reach than either.