Lyndon, here is a quote from Paul Marmet's paper (referenced on another thread, "solar limb redshift", by Jens):
Redshift of Spectral lines in the Sun's Chromosphere.
Quote:
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The fact that photon scattering is always inelastic has also been found independently and was demonstrated several years ago by Bethe and Salpeter [41], and has been recalled more recently by Jauch and Rohlich [42]. Because the energy loss is extremely small and the quantitative amount of energy loss is difficult to calculate, this mechanism has been generally ignored. One can see that, due to bremsstrahlung, this inelastic scattering leads always to an energy loss, and, consequently, the transmitted photon loses some energy. Therefore, the photon is slightly red shifted. It is seen that the energy loss is caused by the acceleration of an electric charge (and therefore follows Maxwell's equations) rather than by a quantum or a relativistic effect. Quantum and relativistic considerations do not lead to energy losses in this case. Since calculations of energy losses due to the acceleration of charges is treated by electrodynamics, we have used here classical electrodynamical considerations. The results of those calculations have been reported [3], [5]. It is seen that the red shift produced depends on the number of collisions with atoms and therefore on the amount of gas crossed in the trajectory of the photon.
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So it looks like there may be two separate effects involving light redshift, that of relativistic or quantum effect versus the electrodynamiic effect. Though this paper deals with solar redshift, an anomalous and possibly non-Doppler effect, it may also apply to where your quest is taking you. I only offer it here as a piece of additional information. The rest of the paper goes into greater mathematical detail. My personal bias is that I find an inflationary Big Bang philosophically untenable, a something from nothing, which leads to the ingenuous idea that cosmic light redshift is due to an expanding universe Doppler effect. I suspect another cause, yet to be fully indentified. Good luck.