I have lots of experience with .38 Special revolvers, with SWC bullets only.
I want to reload .38 Special for use in a S&W M14 for use in Bullseye matches. I am told .360" Remington Hollow Based Wad Cutter bullets are most likely to be the most accurate, but it would be best to size the outside of the case less such that bullets, on seating, do not get squashed down to .358". A method of doing this is to use a slightly larger ID size die, such as for the .38 S&W, or the .38 Super. Doing a search, most die manufacturers just sell a .38 Super size die for use with .38 S&W brass. Others may just sell a .38 Special size die and a bigger expander.
The .38 Special size die should produce a case ID significantly smaller than the .38 Super, and the .38 S&W is just a couple thou larger than that.
The direction I am headed in, is to first try a cheap .38 Super size die, and if that does not work try an expensive .38 S&W size die. I am looking for other people's experience, especially in .38 target revolvers.