You could transfer the files from your Amiga 2000 to a PC using a Null Modem serial cable if you have one?
There are lots of free tools, but if you are prepared to spend a few bucks then AmigaExplorer will do all the work for you.
Once installed on the Windows side, Amiga Explorer can self-install to the Amiga over the serial cable without requiring any additional software, but the Amiga must be able to boot first (e.g. with a Workbench disk, at least version 1.2).
http://www.amigaforever.com/ae/