In article ,
Gary Harnagel writes:
The neutrino flux would be red-shifted by z ~ 1100 also,

This ignores the part about the neutrinos having decoupled long
before the photons. One source, which seems to be a textbook by
Daniel Baumann at Cambridge:
http://www.damtp.cam.ac.uk/user/db27...y/Chapter3.pdf
gives a neutrino decoupling redshift of 6E9. That corresponds to an
energy of about 1 Mev and a time about 1 s after the Big Bang.
Cosmological neutrinos should therefore have a kinetic energy today
of about 1/6 meV (i.e., milli-, not mega-). As the OP wrote, that's
very far from detectable.

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