If Hubble's Law is true, then v = H * D, and when D = c / H, v = c, and that is called Hubble Limit. If you go far enough, galaxies will recede faster than the speed of light. That boundary defines the Hubble Volume.

In the Big Bang model, once a photon goes that far, space is expanding faster than light can travel, it's basically stuck at Hubble's Limit. There would be a bunch just adding up in that case.

In this model (which is not the 1930's Tired Light model), the photon hits a frequency of zero, and ceases to exist.