I have no idea whether yo can do that in Foxit but I can say for sure that if you use our
printer you can pass it the file name you want.
There are also options for PDF version (it shouldn't matter what version of our printer you use, it will be compatible with any ISO compliant PDF software, probably even Foxit.) :
We also have PDFSaver to manage your print jobs. http://help.tracker-software.com/pdfxs6/pdf-saver_s.html
I recommend you take a look at these products, I think you will find them applicable to your situation.