Depending on your intended use, there are several I've had which were exceptional guns. I prefer to take advantage of the fact that a 44 Special need not be built to digest 44 Mag loads, and personally prefer smaller, lighter 44 Special guns.
That said, the "mild temperament" of the 44 Special isn't quite as obvious in small, 3", 5-shot revolvers as it would seem in a full-sized revolver, but is still very manageable.
I had a mid-eighties 4" 624, which was a nice gun. I got it new for $275, but it had serious problems and wouldn't even fire when I got it. Smith was nice about it and fixed some of the issues, but feel down hard on others. I fixed the rest myself. After that dance, it was a marvelous revolver, but LARGE to me. It was lighter than a 29, but no smaller.
I've had several 3" Bulldogs and 4" Target Bulldogs, which are much more the size I like. These are not guns that will convince you of the rumors of the 44 Special's mild demeanor. A handful, but not hard to manage. Not something you'd want to shoot a drywall bucket full of cartridges through for a lazy day of plinking dandelion heads in a sleepy meadow, but certainly accurate enough to do so - 2" to 2.5" 5-shot groups at 25 yards without a lot of effort.
Rossi M720 - I've had two. Both were exceptionally accurate - as accurate as the Bulldogs or more so. A bit more weight on these guns, which are still very compact and had great triggers. The workmanship on them was excellent as well.
Taurus 43-somthings - had two of these too; a fixed-sighted blued model and a 6" stainless model. Accurate as well and very nice workmanship - good-looking and good-shooting guns of about the same weight class as the Rossi.
Ruger 44 Special Flat Top - have had four. HEAVY. I swapped the steel grip frame for the XR3-RED and it helped. Accurate, built like a brick, very well executed in terms of workmanship, etc. The first one was from the first run of Lipsey's and it was a turd. Ruger took it back and agreed, sent me a whole new one. It seems like a lit of gun for the 44 Special, but it is comfortable to shoot. Had the Bisley model - bought it because it was there." came to my senses and sold it before firing. WAY too much gun for the 44 special. My regret is being complacent when they discontinued the New Vaquero 44 Special, which made me hem and haw too long over spending $419 on a 4 5/8" blued one.
Old Model 357 conversion, done by a small shop - a friend who was a gun smith. Looks like a box-stock OM Blackhawk other than the holes. Excellent revolver, about the same weight and "balance" as the new Flat Tops.
My preferences were nurtured using a 3" Bulldog for years, and getting used to it. So many guns after that felt big, bulky and heavy. The short Bulldogs carry well. I've read that the new 4" (and 5") Bulldogs shoot well but haven't owned or shot one. I can't say much aboiut any others, because the ones mentioned are the ones I've owned and shot.