Probably not ideal, but every square, or threesquare, file I've seen has that transition from parallel to tapering, giving the crowning your looking for? Not ideal, because it'll have a tiny active area in that crowned section, and probably too much of a crown - I suspect your 4" files would give a larger contact patch!
It occurred to me that one of the other major manufacturers of quality files is Dick. I, er, happen to have a wee example of their work, in the form of a 14 inch smooth cut flat file. Which, from measurements, it shrinks from 8.0 to 7.6 mm from handle to tip; and checking with a 'straight edge' [0], it's crowned in the way you describe. Probably a clear signal, the tip of the file shrinks widthwise from 34 to 26 mm, in the top quarter of the file. I say probably, only because I've never twigged on that before (and yet, it's obvious in retrospect).
Checking their website, and I see that they no longer list that sort of file! They have 'hand' files, which clearly have parallel sides. But something tugged at my memory, and I dug out:
http://www.ebay.co.uk/itm/Box-of-5-Dick ... 1588476154
Which is both labelled as 'flat', and has that slight taper in width near the tip, to match the one I have. Unfortunatly, unless you want to do a lot of large scale work, a box of 5 might be excessive! Also, 14" files are a beast, and don't really qualify as 'medium' sized, I'm afraid, unless you're used to doing things monster sized. (The same mob also have a 'hand' file from Dick, 14" smooth, which shows the constant width, so I'm inclined to believe their labelling.)
Vallerobe also don't list a flat file either, just a 'hand' file, constant width. Gorobet is a Vallerobe brand; so I'm assuming that they are the same.
Only other major manufacturer I can think of is Nicholson, so I did some Googling, and found:
http://www.ffx.co.uk/tools/product/Nich ... File%206In
which says that the Nicholson 'flat' file is tapered in both width and thickness. I can't comment directly, lacking experience of either that site or Nicholson files; but that's the only lead I can shake out of the internet. Still, depending on how keen you are, it might be worth a bit of a stab at a Nicholson.
I'm afraid it looks like the 'flat file' is a dying tool - probably things like surface grinders have replaced it where accuracy counts, and elsewhere it's just jewellers and people who don't need enough accuracy to warrant the specialise tool.
[0] A ruler that must have cost two, if not three whole pence. However, appears good enough to see the crown on the file by rocking on it, and looking for the light.