If you have experience with heavily recoiling guns, go for it. If you don't, you may find the .44 a little vigorous with full power loads.
With powerful guns, reloading becomes even more important, not just to reduce costs, but to reduce the pounding of full power loads. Begin with mild loads. Practice, Practice, Practice. As you get better and better with a light load, build up the power level so that you eventually get good with the full power loads without the side effect of bad habbits like flinching due to recoil.
The .357 is a great all around gun. I do most of mycenterfire practice with one, but I do even more with .22s. I have .22s that match weight, balance, grip and trigger action of my centerfires. With the cost and availability of ammo now, I do most of my practice with the .22 and just a little with the centerfire after I have gotten things going well with the .22.