I guess board width is a limiting factor for both.. To lay down paddle a sup board it can't be too wide.. and to sup it it can't be too narrow.
The 11' NSP would work for both but would only be any good if you were less than about 60-70 kgs IMO or it will be too tippy.
Sanebie.. How big/heavy are you?.. One good thing about lay down paddling a sup board is that they kneel paddle well..

DJ