Anatomical grips that have a palm rest can be very helpful toward supporting the weight of the gun, but the better ones can admittedly be more expensive.
There are lighter dot sights and where the sight is positioned can also make a difference in the balance of the gun.
I'm probably not any larger or stronger than the OP, yet I've been competing in NRA Bullseye with heavier .22 target pistols for a number of years.
Yes, it can be a real struggle to hold the pistol on target at times while at other times it seems to be a whole lot easier.
There are some tricks to learn about doing it, some of which work for some folks more than others.
There's so many different muscle groups involved in holding a pistol one handed to experiment with, around all of the shoulder, the different muscles throughout the arm, how rigidly one locks their forearm, their stance and the distance that their feet remain apart, the multitude of hand and finger muscles and discovering where to place your fingers on the grip and how much pressure should be exerted by each finger and part of the hand. There's standing tall and arching the back, and leaning further back to the extent necessary verses leaning forward too much which makes the gun feel heavier and which can cause the muzzle to drop.
The Model 41 grip has a relatively upright angle which requires the wrist to be pretty much locked in place to not drop shots. Some of the better anatomical grips do modify the grip angle somewhat which can be more comfortable.
It's not only the weight of the gun that's causing the heaviness, but a whole host of factors that contributes to better and more accurate shooting.
That's part of what makes Bullseye shooting so challenging is that there's a learning curve which for some of us takes years of trial and error. For others with more strength or coordination, they may be able to shoot better much more quickly especially if their pistol rig fits them better or has better ergonomics. Whatever the reasons are, it's important to not give up too easily. It takes a lot of determination and perseverance for a person of average strength and ability to learn how to shoot a pistol one handed, even if the gun were more light weight. An extra ounce of weight distribution or moving the scope an inch or two fore or aft can make a difference just like learning to lean back more, and using your rear foot placement like a rudder to obtain a more natural point of aim which in turn helps to not fight against your own stance.
Where there's a will there's a way to learn, but it does require a certain amount of will to not give up trying. It's truly a lifetime learning endeavor and everyone is on their own learning curve.
Unlock the hidden secrets about holding your individual pistol and what you need to do to be able to fire it accurately one handed. Something may only work for you and no one else. Someone may even tell you that a particular method won't work, and it may only work once but not twice.
But even if it does only work once and you can't repeat the results, at least you recorded one good satisfying score.
The gains can be small until you fire enough matches to where the struggle to fire one handed becomes second nature.
There are no guarantees except that you need to chose to not give up or fail to keep trying. Some folks can get bored with .22 Bullseye if they take their high scores for granted. But for those of us who struggle, recording a good score once in a while is a major accomplishment.
There's always the limitations of a person's equipment to overcome, and there's always other models that you may like and could shoot better scores with.
But everyone still needs to start with some particular model.
Get used to it for as long as possible and when you feel that you can't progress further than trade it in or sell off the accessories and try a different model or some new equipment.
And keep looking for tips from other shooters, and asking others to see what they use for equipment.
I think that the motto for those of us who struggle to shoot .22's one handed should be: "If it were easy then it wouldn't be fun".
