The first thing is to make sure you have a 4-speed console for it to fit under. The C-body consoles were generally "automatic only", if it was a column shift car, there was a trim plate to go in that hole.
As for the base shifter? I suspect a B-body will fit a C-body. The driver's seat will be in the same basic orientation to the shifter handle, I suspect. Shifter rods might be different lengths, though. I also suspect that with the very low volume of C-body 4-speeds (probably more now than every produced by Chrysler), they would have used the B-body shift handle (AND related items underneath). BUT I could be wrong with that. The more unique items, with related production and inventory costs, and possibly "assembly line complexity", the more cost for that particular option on a C-body car, so "less expense is best".
Looking in the Chrysler parts book (or similar Factory Service Manual) is normally a good resource, IF you also understand that the same physical item, with a different finish, or one additional hole drilled in a different location would generate a different part number. Parts illustrations can be problematic as they were done months prior to production, of in similar model years, one illustration carried-over from a prior year . . . "for illustration purposes". But they still might be helpful, as can sales brochures AND the Dealer Order Guide and Color and Trim book.
Hope this might help,
CBODY67