The ammo won't hurt the Redhawk, but it might hurt your hand a little. I would recommend double hearing protection, too (plugs + muffs.) The Redhawk is an excellent revolver, and I'm sure the ammo you're considering will perform well, too.
Last year I went through the load development process to develop a .44 mag bear (both blackies and grizz)defense load. Using a few different assumptions and a little different POV, I arrived at a different solution.
I'm sure the the solution which you arrived it is a good one, and I'm confident that you have good reasons for choosing the load that you did. But just in case you might find it interesting or you might want to investigate my approach at some time in the future, I'd like to share it with you.
I've never shot a bear with a 44. mag revolver, but I have seen several large black bears dispatched with one. I claim no special knowledge or expertise. It seems that most shooters who research this topic end up choosing a max load with a flat nose hard cast bullet weighing 300 gr or more. Such loads have been used successfully with the largest animals in Alaska for decades.
In the process of researching hard cast bullets, I read some of Marshall Stanton's Tech Notes on his Beartooth Bullets website. He is among the original developers and advocates of heavy hard cast bullets with a wide meplat for hunting. He and some of his customers have done a lot of research on the relative importance of bullet weight, bullet hardness, meplat diameter, and velocity. The results of his research is contained in 3 charts in his first "Tech Note" on his website. I'm not a big believer in using charts and formulas to select ammo or bullets, but over the years the experience of Mr Stanton and his customers has pretty well verified the information in his charts.
I've decided to keep my 629 because I like it. Due to recurring problems with arthritis, I need to use a load which produces less recoil than the BB+p+ load. Mr. Stanton is an advocate of heavy hard cast bullets with a wide meplat for shooting big game with a revolver. But he believes that we have been oversold on the need for the heaviest bullets using the heaviest powder charges. According to Stanton's research as shown in his charts, a 250 gr Keith style bullet with an impact velocity of 1100 fps will penetrate just as deeply as his 325 gr. LWFNGC at the same impact velocity because the meplat of the Keith bullet is not quite as wide as the meplat on his WFN bullets.
The lighter weight Keith bullet will generate less than 2/3 as much recoil as the 325 gr bullet. Since the Keith bullet has a smaller diameter meplat, it will produce a wound channel that is .1 " smaller in diameter, according to Mr Stanton. So according to him, his 250 gr Keith bullet will penetrate just as deeply as his 325 gr LWFN bullet while producing a wound channel that is 90% as wide in diameter as the channel produced by the heavier bullet at the same velocity. And the load with the lighter bullet will produce less than 65% as much recoil.
According to Mr Stanton, all of his .44 cal hard cast bullets from 250 gr through the heaviest are capable of penetrating all the way through a grizzly bear or a moose when fired from a revolver and have done so many times in the field. Undoubtedly, in some loads in some revolvers, the heaviest bullets will penetrate the deepest. But it's likely that a 280 gr or 300 gr bullet fired from a .44 mag can accomplish anything that a .44 is capable of accomplishing on animals found on the North American continent.
The 250 gr, 280 gr, and 300 gr bullets will penetrate all the way through a grizzly bear with enough remaining power to penetrate at least a foot (a guesstimate) into a tree behind the bear. The bullets heavier than 300 gr. will completely penetrate through the bear and will penetrate even more deeply into the tree behind it. According to Mr. Stanton, the 250 gr Keith bullet will penetrate just as deeply as most of the heavier bullets, but the wound channel will only be 90% as wide in diameter. Even at velocities of 1100 to 1200 fps, the bullets have penetration to spare.
Buffalo Bore engineers are aware of how this works, and BB sells a lower recoil load for use in S&W 329 revolvers which drives a 250 gr Keith style bullet at 1250 fps. I will probably settle on a 265 gr or a 280 gr bullet at the same velocity. The pressure will be within SAAMI recommendations; it will be safe to fire in my 629; it won't hurt my arthritic wrist as badly; and the compromise in performance will be minimal or almost unnoticeable.
If this info had originated from some promotional ad copy, I probably wouldn't trust it. But Marshall Stanton is one of the original developers and advocates of this type of bullet. He has been researching the performance of these bullets for decades, and he has become convinced that the need for the heaviest bullets at the highest velocities has been exaggerated and oversold. He is going to sell many tons of bullets whether he advocates the use of heavier or lighter bullets. I have no choice but to use a lighter bullet, but, at least for now, you do have a choice. I (along with Marshall Stanton) think that it's likely that I will be sacrificing a lot less performance than the advocates of the heaviest bullets realize.