  A companion paper provides a proposal for cosmic singularity resolution based
upon general features of a bouncing unitary cosmological model in the
mini-superspace approximation. This paper analyses novel phenomenology that can
be identified within particular solutions of that model. First, we justify our
choice of particular solutions based upon a clearly articulated and
observationally-motivated principle. Second, we demonstrate that the chosen
solutions follow a classical mini-superspace cosmology before smoothly bouncing
off the classically singular region. Third, and most significantly, we identify
a `Rayleigh-scattering' limit for physically reasonable choices of parameters
within which the solutions display effective behaviour that is insensitive to
the details of rapidly oscillating Planck-scale physics. This effective physics
is found to be compatible with an effective period of cosmic inflation well
below the Planck scale. The detailed effective physics of this
Rayleigh-scattering limit is provided via: i) an exact analytical treatment of
the model in the de~Sitter limit; and ii) numerical solutions of the full
model.
