It is possible to extract from the Cloudy model the electron temperature and density and the ionic fractions to re-compute at each zone of the nebula the emissivities of the lines, using the PyNeb code ( https://pypi.python.org/pypi/PyNeb )
This is NOT coherent in the fact that changing the line emissivities change the cooling and then the electron temperature. And only collisional effects are taken into account. But this can nevertheless helps to understand the effect of choosing one set of atomic data or another one in the analysis of a nebula.
The ipython Notebook is here: https://github.com/Morisset/pyCloudy/blob/master/pyCloudy/docs/Using_pyCloudy_with_PyNeb.ipynb