I now have a KeyTronic KB101 Plus Professional Series keyboard on the way.
It has settings for:
Enhanced XT/AT
PC or XT
AT
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E0 Code Sent (E ZERO - I HATE THE DEFAULT FONT ON THIS FORUM)
No E0 Code Sent

I do not know if the Kyocera uses a special KB but do know the Keytronic XT/AT kb's I have work on everything tried so far. The other KB that works great on XT/AT is Hewitt Rand or Zenith SK-2000R series (think they are early Keytronic and heavy as hell)

Theoretically this board should work with an AT keyboard but since I tried 3 different ones and none of them worked, I am unsure of what it is supposed to use.

The motherboard is one of those that uses discreet chips and doesn't actually have a chipset.

I guess it could be that the keyboard controller is bad as well or maybe one of the connections on the DIN-5 socket for the keyboard is not making good enough contact.
I may end up having to replace the DIN-5 since with did have some battery acid get on it.
It didn't look bad to me though but I am not 100% sure about the condition of the inside of the connector.

The AT/XT keyboard I was trying is a ZEOS keyboard.

Ohh ! If it a Zeos 6252 variant by NTC it has either Cherry or Alps switches. I have one working KB-6252EA that works fine on XT turbo boards and all AT's.
It should work on your board unless you do have a controller/trace issue.....

If I remember correctly, it has Alps switches.
It was new when I bought it and I had to order new keycaps because the stock ones were french if I remember correctly.

In any case, the stock kb controller is an 8042 (AT).

I tried swapping it with a controller from a dead 486 board and I only got 1 beep from the keyboard but it still didn't work.

Swapped the 8042 back in and it does the multiple beeps again. Hmmm.

If the regular AT mode doesn't work on the keyboard I have on the way, I guess I am going to have to take the motherboard out again and see if I can figure out what is going on.