Hi Gobble - the output impedance is a bit tricky to calculate for this topology, since it's a Howland Current Pump (high impedance) with an outer feedback loop with significant loop gain. As a first approx., it's the output impedance of the Howland divided by the closed loop gain (~1000..10000).
I can get an approximate number from the LTSpice simulation, but I don't have a good simulation model for the LM3886 - I usually substitute an LM1875 model to get a ballpark number for parameters that don't depend on the specific chipamp used, like this case.