Both firearms are easily capable of far better than 3" at 25 yards, even with factory ammo.
Is the 44MAG too much gun for you? Some folks can't shoot either DA or SA 44's well simply because they don't tolerate the recoil or muzzle blast well. Some folks might tolerate one action style better than the other too. You might be trying to over control the revolver more in one style than the other.
Doubt its the firearms themselves though, or even the trigger pull weight. Some or it might be the fit of the grips to your hand, but probably rather your shooting technique (hold, follow trough, etc). Mine for SA's is not the same as it is for DA's. By design perceived recoil is commonly different to many folks between a DA and a SA, especially when shooting the DA double action. Interestingly, how its perceived between the two is not the same for everybody though... some notice it more in the SA's, some in the DA's IOW. To me a DA tends to recoil straight back, while I let a SA roll upwards, and I don't "control" either of them. I don't perceive the recoil of one style as more severe than the other, but probably because I have been a handgun hunter since the 60's, and shooting handcannons far more powerful than a 44MAG since the early 80's.
FWIW, I've had 4 or 5 S&W 29's with from 5"-8 3/8" barrels, a couple of 7.5" and one 10" SBH, and used them all for deer, elk and hog hunting with great success from the 60's to 80's at way, way longer ranges than your shooting. All were good to go right out of the box, although I did rework triggers, etc on all of them eventually.
Your best bet might be to go to a range that holds organized handgun matches and see if a proven competitor will give you some range time to see what you are doing, and how to correct it if wrong. That would be far more beneficial to you than reading my hog wash.
YMMV