Hey, QuirkyQ32!
We've never published a game before so I'm afraid I have no experience with this issue. From a quick search on the interwebs it seems that you'll have to be approved by Sony to make Ps4-controllers work natively:/
There are other 3d party programs for this, it seems, but I have no experience of them so I can't recommend anything >_>
But if we'll add the Keyboard/Mouse after the gamejam is done maybe you could try it out then instead:)