My chamber is just a 375 Ruger case necked down to 338. No other modifications to the design.
Redding makes actual 338-375 Ruger dies (which is what I have), or you can have Whidden make you a set from your reamer print or fired cases. Whidden wasn't making dies back when I built my 338-375R (at least not to my knowledge) or I would have went that route. I use Whidden FL bushing sizer dies for some of my other chamberings and they are definitely much higher quality.
Nowadays for seating dies on custom rifles, I buy Wilson micrometer arbor die blanks and have my seating dies customach made with my chamber reamer so they are an exact match. But Whidden seating dies are also very nice.