I can't speak for the bikes, but I can assure you that the bike will not fit with the tailgate up in the Crew Cab short bed (which is 67" long)
With the tailgate down and a bed extender gate on (I have the extender gate that came with the Ramboxes) you have 84" from the edge of the bed by the cab to the inside of the extender gate folded down on the (open) tailgate. I measured mine yesterday to transport some stuff from Ikea.
Without the extender, you would have effectively 90" or so, since the contact patch of the rear tire sits a few inches forward of the absolute back of the bike. The rear of the tire would be hanging out off the end of the tailgate, but you could safely secure the bike in that position (at least in theory).
If your bike is 84", then it seems to me that you just need to find the right "bed extender" and the bike will fit like a glove.
Edit: Oh, for what it's worth, an 84" bike won't fit in the "long bed" either with the tailgate up (78 inches).