Weeeeell, 2^4 is 16, which is arguably not enough for the alphabet, and we should rule out the case where all switches are in 0 position to keep this case for "no key pressed". That said, I'm not sure whether the 4-way isn't just realized as a 2x2 matrix internally rather than 4 switches.
All that said, it somehow sounds a tad bit more viable to just hook up a USB-OTG capable microcontroller in USB serial host mode to the USB port. This also has the charme of not interfering with existing functionality... Hmmm... on my shelf, there's a PIC32MX220 test board waiting for some spare time and dedication...
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