Just for reference, the 27/327/627 family of revolvers are N-frames.
If you are seeking an 8 3/8" you will need to look at model 27s. This barrel length was never offered in the lightweight 327 or stainless 627 families.
In terms of accuracy, you might want to take a look at the 327s. These lightweight revolvers have Scandium alloy frames and often other weight reducing features.
While the barrels are not user interchangeable, the 327s do utilize the same multi-piece, tensioned design that made the Dan Wessons so famous for accuracy.
My 327JM and 327 TRR8 are the most accurate S&W 357 revolvers I have ever shot even though both are only 5" barrels.
Both revolvers are the more modern 8 shot design introduced in 1997. Both are Performance Center offerings. Both are set up for moon clips. Both use the Interchangeable Front Sight (IFS) that S&W has been using for decades now. This makes swapping the front sigh a 1 minute job. You can carry a fiver optic for indoor low light and a gold bead for sunlight, etc.