I've downloaded the LPF but my 4880 isn't showing up in the printer list.
The printer doesn't appear in the list because you're using a version that's not supported by your printer. You will need a supported version of the software in order to connect the printer.
For your printer, version 2.50 is required and it can be downloaded from the official website: http://esupport.epson-europe.com/FileDetails.aspx?lng=en-GB&data=90NVirE+OTo7U002F++9bWww2lCQ2W2kG1fUwLXyxm76NU4U003D&id=378456