Since PDM task is based on solidworks according to the KB it is not possible to export edrawings executables with it, so task is not an option.
Any idea? edrawings API??
I believe the EXE can only be created from within edrawings itself. Edrawings does have an API. You would need a custom PDM task that will launch edrawings, open the SolidWorks files, then save as using this API call:
pdm tasks are made in VBA and there are almost zero examples for edrawings in that language since it seems to be C# and stand alone application oriented.
I made something im VBA to print in pdf and rebuild models, but since they were SW based I brute forced VBA for both SW an PDM and it worked somehow like a normal macro would.
With edrawings I do not know even where to start, if launching edrawings from pdm task is even possible… 
edit: emoji badge unlocked. LOL