>>I believe instead of v representing apparent recessional velocity in Hubble's Law, v = HD, that instead v should represent the actual speed of light after traveling cosmological distances d, where v = c - Hd
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>If your theory were true, the light from these galaxies would exhibit non photonic characteristics

Or, the characteristics of a photon have to change.

We can no longer think of it as traveling at perfect c forever. It slows down after a few million light years and dies out where v = 0 and Hd = c.

Coincidentally, in standard big bang cosmology, eventually v (the galaxies apparent recessional velocity) hits 0 when the expansion of space overcomes things traveling at the speed of light, specifically light itself.

So light has a limit (named The Hubble Limit) even in the big bang but it is for a quite preposterous reason.


> i.e. as it is travelling at less than c the photon would loose it's mass like properties.

Photon's are commonly understood to be massless.