I'd probably avoid most of the 3rd gen stuff made before about 1993 or so. Ive got a 2007 SAA made for a custom order (has the "Z" suffix on model number).
What many don't realize is that the SAA can often be a regular production line gun...meaning that the same people who slap their mass produced pistols together can also assemble the SAA. Not exactly what one wants to hear when prices exceed $2K. One used to be able to ensure that the pistol went through the custom shop at Colt by making a custom order (consecutive serial numbers, special features even as simple as wood/ivory grips etc...). Those guns received a "Z" suffix. It eliminated having to guess which side of the factory made your gun. The "white box" or "blue box" association with the custom shop is not an accurate method all of the time.
I wouldn't say that all of the early 3rd generation guns are junk. Its just that some of the parts were modernized, like one-piece cylinder bushings. Plus the fitment can be hit or miss...but usually the guns work fine. Again though, when prices edge past the $2K mark, do you really want a gun that is fit together no different or better than a Uberti?
.357s, followed by .45 are usually the least expensive too.
While they aren't as refined, all of my three screw Blackhawks have four distinct clicks to them too, even though the design is different. If you have fewer, I'd guess there was a good chance at conversion to a transfer bar. I really love the old model (and unconverted) Blackhawk. Until two years ago when they finally caught the attention of collectors, they were the best deal going for many years...still are a great gun for the money IMO.
For around or a bit north of $2K, you might find a gently used Freedom Arms model 83. I have an 83 and 97, and while the 97 is a superb piece, the action design on the 83 (no transfer bar) lends to a smoother gun.
I saw a suggestion for a Standard Manufacturing above...might not be a bad option either, but I have zero first hand experience with one.
Best of luck.