I think resonance actually favors de-protonation of C.
I posted this question in the DAT forum and got the response Salim gave, that the reason is because the alpha hydrogens are closer to the Oxygen (electron-withdrawing), but I am not entirely convinced. In my undergrad Orgo course, I was told to (when determining acidity) always go with the proton that yields that more stable conjugate base, and I would think the base that results from de-protonation at C is clearly much more stable than the one that results from either A or B.
Is this a matter of kinetic control vs. thermo control or something? That's the only thing I can think of, where at low temperatures the proximity to the Oxygen makes A & B more acidic while at higher temperatures the yield would increasingly favor de-protonation of C. Just something I'm putting out there, but it's really just a shot in the dark.