Thanks for confirming that the shoulder is not an issue.
If it is of any help the dimensions on fired brass here ( at 60-65kPSI peak) are also 0.4705" at the expansion line - the point of maximum diameter about 6mm above the head. The Redding body die here - and I believe it is the standard die 75479, not small base - takes the walls in so that they again taper down uniformly from immediately above the extraction groove at 0.4697" to the shoulder.
I can't positively say that this body die would reduce your 0.46995" dimension because I don't know where you took your measurements when you referred to the "base" - how far above the upper edge of the expansion groove - but it sounds like your die is not taking in the walls as much as the die here would. You said in your OP you had thought of using a body die, so if this means you are using the sizing die from a Redding 2-piece set then maybe see if you can borrow a regular Redding body die to try out before looking at the other options?
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