Yesterday, I spoke with my mechanic and he thought it was a bad idea to have tires with very different tread patterns on the truck. The differences of "wander", i.e. how the tire tracks can cause unusual wear on the tires and a potential problem in general for the truck. Replacement Nitto should be coming this week and the Kumho will be placed on my spare rim for emergencies. Thanks to all for good advice and a great discussion about spares.
Epilogue: New Nitto was put on and the whining stopped. All is well with the world. Maybe I am super sensitive to sound but its interesting that same size tires with some difference in tread wear and pattern can create enough change in the mechanism to produce unfamiliar sounds.