Then you could buy an Asgard and a Modi 3E, for 20$ below your proposed 399$.
Granted, it's two boxes of differing dimensions, which would admittedly offend even my own sensibilities quite a bit.
But what you want is in essence a completely new product: It would require a larger footprint, something closer to Freya, to make the room needed for the additional ports in the back, and because it would require quite a lot more additional internals than just an added DAC chip (i.e. everything that sits between the different inputs that you want to see and the DAC chip itself, as the incoming signals need to be prepped for the DAC chip depending on the signal type you feed into the thing - which is likely the reason why the extension card Schiit sells only offers USB and nothing else), and once you're done, that new product would end up covering a comparably small niche of the headphone amp market.
A product like that would make slightly more sense if you made it fully balanced, but even single-ended I doubt that it could be done anywhere near your 400$ mark. Considering the larger metal and much longer bill of parts, it would probably end up somewhere between 600 to 750, especially when fully balanced. But even single-ended I doubt it could be done for under 500$.
I completely get your point, you're not wrong that a product like that doesn't really exist. At least not in Schiit's lineup. But at least to me, it just doesn't make a whole lot of sense from a business perspective. Especially when you can already get what is essentially the same thing for relatively little money by just buying an Asgard and a Modi 3E.