At what point does the name of the PDF become import? If only when you save it to disk, the use of a nice simple name can be scripted using the script step to save as PDF. This requires setting a proper filepath, usually to the user's desktop, and either grabbing the desired file name from a field or via a custom dialog where it can be stored in a $variable and use to complete the $filepath variable in the script.
We are also trying to figure out when the filename of the PDF doesn't transfer to the user's save or view. If we inset the file (edit: file icon appears) it will retain the filename. If it is an interactive PDF, then we get what appears to be a secure path. Saving the file as open or secure does not change this anomoly.