It's all about whether or not the BH fits your hands, and how much recoil ("bullet horsepower") you want to run.
That's a large-frame gun - aka "44Mag-class frame". So 357s aren't going to stress the gun any and all else being equal should be tolerable for most folks even with the wildest ammo available. In 38/38+P it'll be a pussycat.
The people who seem to like the BH grip the most are those with smallish hands. For some such people, they report surprisingly good recoil handling...for a few, better than anything else they've tried.
If you have bigger hands, one option is the Eagle Gunfighter grip panels for the Ruger BH. These are thinner except for a widened area at the top, so you've got something extra along the top edge of your hand to snuggle up against. Used right this will let you place the gun firmly in the same place for each shot, also known as "indexing". By having the gun in just the right place each time, it can balance the fact that there's less backstrap meat and hence you'd think MORE felt recoil.
Anyways. It works for some people...others, not so much. At a minimum handle it. See if it works with a "pinkie under" hold with the pinkie curled tight underneath.
Since Ruger will not be producing any more BH grip frames (because the lock won't fit in there) you can swap grip frames later and sell that one for good coin. So the risk ain't that bad, if it turns out you can't cope.