I don't know how many exactly were made but the Model 36-1, fixed sights, 3" Heavy Barrel seems to still be around and since it is not 357, or even 38 +P stamped....still at "reasonable" prices.
If you have to have 357 Magnum (Op post just said K Frame) then yea...the Model 65 (fixed sights), or 66 (adjustable sights) are in Stainless and hold up well.
I wanted to thin the herd a little a couple years ago and had my 36-1 (1976), and my 65-3 (1986) up for sale locally at even money ($450) and 65 went fairly quickly, so I kept the others, and the 66-6 (2002) gets shot more, but pretty much with 38 Special as other guns are better shooters for me with 357 Magnum. The 66 also has the infamous Hillary Hole.
Good luck with your search, at todays inflated, panic ridden prices, there may not be much out there if you are searching on a limited budget, especially big on line sites with all their extra costs. Maybe decide what caliber, and Model number you are really wanting....then post a WTB add here on the Forum and see what comes.