We analyze the shock-in-jet models for the γ -ray flaring blazars 0420-014, OJ 287, and 1156+295 presented in Paper I, quantifying how well the modeling constrains internal properties of the flow (low-energy spectral cutoff, partition between random and ordered magnetic field), the flow dynamics (quiescent flow speed and orientation), and the number and strength of the shocks responsible for radio-band flaring. We conclude that well-sampled, multifrequency polarized flux light curves are crucial for defining source properties. We argue for few, if any, low-energy particles in these flows, suggesting no entrainment and efficient energization of jet material, and for approximate energy equipartition between the random and ordered magnetic field components, suggesting that the ordered field is built by nontrivial dynamo action from the random component, or that the latter arises from a jet instability that preserves the larger-scale, ordered flow. We present evidence that the difference between orphan radio-band (no γ -ray counterpart) and non-orphan flares is due to more complex shock interactions in the latter case.