This coaching staff can't even get the most out of their chosen starter. They definitely can't pull a Payton and make Good Jameis the majority of the time. At this point, play Taysom. Let him cook. At least it'll be entertaining and we're more likely to win...and he won't throw tantrums.
I'd start the rookie, but it's pretty clear at this point that Allen isn't gonna give up on Carr. They need to get more production out of Carr though, clearly.