I wish I could help Eddie,
in my minds eye there seems to be a conflict of interest in using a tl model to simulate coax with is losses & matching stub and having to add a 3rd wire to simulate the outside of the braid so it carries current & radiates,
if you were terminating the coax with a resistor the coax braid would not radiate so no need for an extra wire, you would just see the coax loss & matching loss due to loss in the stub & high vswr between top end of coax and the stub,
but that's not how a coax dipole works, its not terminated with a resistor,
its highly unbalanced causing the outside braid to carry all the return current
the choke only inserts reactance in the outside of the braid & there is no outside to carry current without a 3rd wire when using a tl model to simulate coax,
imho if you add the 3rd wire from feedpoint down to just above the choke to simulate the radiating part above the choke you won't see any current on the choke or the reactance the choke inserts in series with the braid,
that extra wire will terminate in air & the choke won't be doing anything but make the coax longer,
I could be wrong but it seems you have a task on your hands.
Good luck figuring it out.
in my minds eye there seems to be a conflict of interest in using a tl model to simulate coax with is losses & matching stub and having to add a 3rd wire to simulate the outside of the braid so it carries current & radiates,
if you were terminating the coax with a resistor the coax braid would not radiate so no need for an extra wire, you would just see the coax loss & matching loss due to loss in the stub & high vswr between top end of coax and the stub,
but that's not how a coax dipole works, its not terminated with a resistor,
its highly unbalanced causing the outside braid to carry all the return current
the choke only inserts reactance in the outside of the braid & there is no outside to carry current without a 3rd wire when using a tl model to simulate coax,
imho if you add the 3rd wire from feedpoint down to just above the choke to simulate the radiating part above the choke you won't see any current on the choke or the reactance the choke inserts in series with the braid,
that extra wire will terminate in air & the choke won't be doing anything but make the coax longer,
I could be wrong but it seems you have a task on your hands.
Good luck figuring it out.