maybe you could try amiga explorer.
i think its $14. install it on a PC, connect to the amiga via serial port, and install the client on the amiga side. hmmm, workbench floppy disk required i guess, but at least it can push the client software to the amiga over the serial link... i don't know if there is a MAC version...
but then you can drag and drop ADF files to and from the amiga floppy drive.
i just hope with all that lint you mentioned its ok! you may need a drive head cleaner... :-)