I would suggest you shoot some of these which are loaded to about 1100 fps.
Then move to the normal powered 44 mag loadings.
Cowboy ammunition will be very wimpy in general (like 850 fps). You have to ask yourself what you are trying to accomplish with learning to shoot the 44 Mag?
Will shooting light cowboy loads really help you? Sure you get to shoot the revolver, but does it "help you"?
It boils down to shooting and developing a comfort level with the caliber (44 Mag) as opposed to just shooting light loads just to shoot the gun. Yes, I know you can buy or reload really light loads. But why?
Now.... if you intend to use the gun for self defense, normal 44 mag loadings are probably a bit stout and un-necessary. So shooting the equivalent of 44 Special makes sense in this case.
One could also make the argument of shooting something smaller and not shooting the 44 mag at all.
I say, if you want to learn to shoot the 44 mag, you will just have to shoot it and shoot it some more paying attention to the fundamentals. When recoil fatique sets in, stop. Then shoot again another day. Try wearing a shooting glove of some sort.
I did this with a 41 magnum (M57). I did not like shooting 357 mags, but I was set on learning to shoot the 41 mag reasonably well. You just have to shoot.