I have and use all three... plus some lever rifles in 44-40, to boot.
The fact is any of your chosen three will handle almost any job you might need to handle ..... EAST of the Mississippi River (and I grew up playing in the swamps and woods of the deep south).
But for your area (Colorado) I'd suggest you go with the 44 magnum (or 45 Colt). If you learn to reload, the difference between the two is academic, IMO. Until then, the 44 mag will beat the pants off any commercial 45 Colt load that I'm aware of (and I've been a reloader since the mid 1950s so bear in mind that I am NOT "up" on what's currently on the shelves. I've not bought commercial centerfire ammo since "I can't remember when".
Second only to the 357/38 Special, the 44 mag offers the largest variety of off the shelf ammo. And, like the 357/38, a 44 mag will shoot the less powerful 44 Specials.
If you learn to reload, you'll find that you can tailor your loads to the point to wherever and whatever power levels you want and that simply opens up a whole new world for the shooter.
One thing you should be aware of is that "some" rifles are extremely picky about overall cartridge length i.e. my Browning M92 357 is one of the greatest rifles ever in my battery, but it won't reliably cycle 38 Specials for beans. Its strictly a 357 mag rifle. I've not seen that issue in my (older) Marlins rifles.
My two favorite 44 Magnum lever rifles are my Marlin Cowboy Limited and my Rossi M92 Trapper (the Rossi is also picky about cartridge length, but its one of my all time favorites performance wise).
The simple fact is that your choice should hinge on what you possibly might need to actually do with the rifle. Generally I tell folks to pick out the biggest, meanest, nastiest, critter in the area that they might have to shoot with the rifle and then choose accordingly.
In the high Sierras, or high desert, and in Alaska, I generally carry rifles and handguns in calibers that have "4" as the first numeral.
Regardless of what you select, you'll have most of the bases covered. And as you gain actual field experience, you'll come to decide what's best for you. I've been playing in the wilder places for 65 years now and my choices have changed many times during those years.