And what bandwidth are you interested in?
If you're actually concerned about vias and layers, apparently you're doing >20GHz bandwidth with <1dB gain error. Which really makes me wonder if your "coil" model is correct, whatever it is -- even a very small "coil" will exhibit a vast number of dispersive modes in that bandwidth, probably needing 10k, even 100k of SPICE data. Needless to say, any simulation will run at a crawl; you're probably better off doing the sim in the E&M model directly (transient E&M), using a sufficiently streamlined model of the driver (or whatever it is). Or a simulator that interfaces SPICE and E&M directly.
However, if your intent on bulk-equivalent stray capacitance and inductance indicates your bandwidth is significantly less than the electrical length of traces "a while away", I fail to see how an exceedingly detailed model could possibly benefit you.
For more moderate gain-bandwidth ranges (say +/-1dB and up to 5 or 10GHz), I would be more than satisfied by simply using a SPICE transmission line or two. Should be able to arrange two or three in such a way as to emulate the differential and common mode impedance of a differential route.
If you'd like, I could inspect your data and come up with some SWAGs.
Tim