Nitpicker, I agree there's nothing stopping you for breaking left for a right circuit.
However, once the missed approach has been commenced I can't see any way you can manoeuvre south of the field at the MSA to comply with the night visual approach requirements straight in to 36 unless you comply with the dme/gps arrival for that sector or the VOR 36.
Unless you try and orbit down within the circling area? Which I reckon is asking for trouble.
To me the only safe options at night once you are south of the runway are:
* the missed approach to the MSA, manoeuvre at the MSA to intercept the sector C dme/gps arrival, or
* climb to 3000', sector entry and VOR 36.
All of which needs serious pre briefing, fmc loading and crew co-ordination as it's going to be a very busy 10 mins or so.
Either way, being 9 nm south of the field allegedly at 1600', is not kosher.