If I remember correctly, the L.H. 44 Special Snub Nose came with a S&W holster included in the price.
I remember reading the article about them in Guns and Ammo, and that highly respected gun rag

stated that the holsters could be 'purchased separately'.
I didn't know about ordering from a distributor back then. I asked my local shop to order one for me, and they said they couldn't get one.
I had a terrible itch to get one, and I wound up buying one in about '86 or '87 used. No box, and it came with Pachmyr grips on it.
It took quite awhile to find to find a set of the correct grips for, as you might imagine.
Mine is in nice shape, but it came to me in 'has been shot some' condition, so mine was never in danger of being a shelf queen.
Mine hasn't had a trigger job, but it has the nicest trigger of my modest collection of S&W revolvers.
Mine has the AEL SN# prefix, and is a LOT of fun to shoot.
I'm sure glad that I reload for it: it is made of the same steel as a Model 29, and can handle MUCH more powerful ammunition than the few loads that are available from the factory.
I load a 250 cast lead Keith style bullet pretty mild for for target shooting. But, with 200 and 225 gr JHP bullets, it can be loaded as hot as recoil allows...and 44 cal snubbies are pretty famous for recoil.
Mag-num: your 24-3 sure is one very beautiful revolver!
Your photography skills really show off that revolver! The bluing on yours is MUCH nicer than mine.