Steve,
"consistent with observations that do not have other explanations" rather misses the point that many 'explanation' are offered to almost ALL findings. What I suggest is important is finding logically consistent explanation coherent with explanations of OTHER phenomena. THAT is where we have a great shortage, including I agree, with 'expansion'.
You suggest; "Thus far, you have not done that". I have done so for the above cases, but apparently you haven't read or 'taken in' those parts, many actually summarised as a list! I've referred elsewhere but a short list of the top of my head is;
Formation of galaxy bars.
Halo rotational 'decoupling' (perpendicular to disc).
Formation and age distribution of dwarf satellite spheroids.
GRB's and strong X ray emissions from quasars.
CMBR large scale Helicity.
The full range of WMAP and Planck peculiar large scale anisotropies.
The Pioneer, voyager and flyby anomalies.
The relativistic Ecliptic plane problem.
'Electron heating' at Earth's bow shock (Cluster data) and shock creation.
Kinetic reverse refraction (KRR).
The failure of Snell's Law and Fresnel Refraction between co-moving media.
Stellar Aberration for waves.
Elliptical polarisation of light.
Faraday Rotation, the Kerr effects (still 'anomalous!), the kSZ effect etc.
A classical physical cause of the effect quantified by the Lorentz Factor.
The list goes on, and I've discussed each one in detail, shown how it improves on present theory and how it all fits perfectly together like a jigsaw puzzle. Indeed a contraction 'phase' is implicit, but NOTHING is required to be 'infinite', even the cycle itself.
So far only a handful of people have bothered to check the evidence rigorously and follow the logical progression. All those agree the model is consistent. I don't expect a great rush of others but falsification continues. Whether of not it's 'true' or not is quite another matter. I can say I'm quite certain it's far from 'complete'!
Best wishes
Peter