It certainly does, and that is exactly what is happening. You have not demonstrated even a single fact to indicate the contrary. Rather, you simply assume, a-priori, that the photon cannot have a wavelength, because it is a particle. But that is the root of the great wave-particle duality. The photon is, simultaneously, both a particle and a wave, and will appear at any measurement, to be either of those, whichever the experiment is designed to detect. It's no use complaining that "it can't be", because "it is", whether we like it or not.