Understand, your 357 revolver has the hardest recoil of just about any handgun made for concealed carry. I had the 3" SP and quickly sold it once I discovered how ridiculous the muzzle flip was. Yours is even worse. The lightweight poly/alloy revolvers are darn near unshootable IMO.
Aside from using 38 Specials in it, you'll find any midsize semiauto to have about half the recoil of your SP. I'm not a big fan of 40 just because the recoil impulse is so abrupt, and prefer 9mm or 45 in a midsize gun.
We had a discussion at our match about caliber effectiveness. With good defensive ammo, any handgun caliber above 380 will be pretty much a wash. Just rent a few and see what you like.