I agree, find SOME way to get that onto a local network, and that will be BY FAR the easiest way to do things. Maybe dig up an old ISA 10Mbps card on Ebay or something, as the original poster suggested if you can't find a suitable PCMCIA card.
And combining with something said above, it's not difficult to find a usb->serial port device/cable (it's not just pin-out, so it's a device, not merely a cable). Pretty cheap. Same with a null-modem cable. Both together should run you in the range of $20-$40 or less. Then hook it directly up to whatever computer you want that has a USB cable, and get a terminal emulator (plenty available) and transfer.
It CAN be done, but I'm with the parent that windows file sharing via ethernet is going to be the fastest by far.