[Fester Chugabrew]

>What is a personality if it is devoid of both intelligence and design?
>Sorry, I don't understand the question.

Let me put it another way. Can a personality exist without the attributes of intelligence or design? Likewise, can a personality exist without physical embodiment?

[Junior]

My dogs have personality, but they are neither intelligent (in fact, they're quite dumb) or designed (they're mutts).

How would one interact, or even know of the existence of a non-physical personality? If it resides on a computer drive or in the pages of a book, it has a physical embodiment. If I discern it only in my mind it has a physical embodiment (my brain and its electro-chemical reactions). So, your proposal is untestable on its face.