Ummmm, Teddy - I don't think that was a accident (lolol).
If your new 629 is only a couple of years old it is built to take anything made in 44 magnum. The only problems any S&W ever had was with the older revolvers firing a constant diet of heavy and heavy recoiling handloads.
As for some of the really heavy custom loads like Grizzly, Garret or Buffalo Bore or Cor-Bon - you can do this yourself since you reload. There is more than enough information out there to start you in the right direction AND you don't have to spend half a paycheck for a box of 20 custom rounds.
Go to our links page and link up to one of our sponsors or one of the links where you can get heavy bullets and get a handful so you can try them, and then decide after you splint your wrist.
I have found the 4" M29 will 'push' more in recoil than 'snap' when you shoot heavy slugs. I prefer a fairly light load with a 295-300 gn Keith style semiwadcutter over 17.5 - 19.5 gns of 2400, as a start. I have no wild desire to go heavier although I have.
Regarding your question about being careful - I would make sure your girlfriend, wife, children or favorite dogs are not hiding behind the backstop or that nobody posted a target on your front fender while you weren't lookin'when you shoot because those heavy 44 slugs penetrate very well. jmtcw.