Just a few comments

It is Fritz Zwicky and the wiki link describes his "tired light" http://en.wikipedia.org/wiki/Fritz_Zwicky

Also, parallax works within closer regions of our galaxy, but for intergalactic measures, Hubble used Cepheid variables.
http://en.wikipedia.org/wiki/Edwin_Hubble

http://en.wikipedia.org/wiki/Cepheid_variables

Also, antoniseb’s point about expecting a blue shift when using your model for light “falling” into our galaxy is a critical issue to resolve, if your model is to be valid.

snowflake