You should be able to image those floppies and transfer to PC without buying expensive hardware. As long as the Amiga 2000 floppy drive is working and you have a workbench disk.
First you need to get software from PC to amiga. Amiga explorer from cloanto should do the job. You need a windows PC with a serial port and a null moden cable. Wine might work if you really don't have any windows PC to use.
http://www.amigaforever.com/ae/
Then, transfer this to the amiga - A command line disk imager which can generate images directly usable in an emulator. Or you can compress them for easier transfer.
http://aminet.net/package/disk/misc/YADI
You can then send the disk images back over the serial connection or you could also write compressed image files onto a 720k PC formatted floppy disk. It is pretty simple to set up R/W of PC format floppies on amiga but I can't remember off the top of my head what you need, I think it depends on the workbench version, later ones can do it natively, earlier ones need some utility, I think, probably quicker and more reliable to use serial transfer anyway.