When I first read this thread, I thought: RS-422 (the Mac serial standard) should be able to perform over a reasonable distance... The original poster would be all right transferring data at high speed to another Mac or to an old Sun etc assuming quality cables. LocalTalk networking demonstrates how well RS-422 is implemented in the Mac.
But when transferring to a PC, RS-232 limitations apply. Standard serial ports in PCs are RS-232 devices, which operate at lower speeds over shorter cable lengths. 57,600bps is actually a decent speed over the dodgy cable that the original poster describes.
Given that the original poster is using a PB180, locate the PowerBook close to the PC and use a short transfer cable -- although this appears to be the case already. I assume that the OP does not have access to a soldering iron, so ask around for somebody who will help you to construct a better cable. Lab technicians at school/college/company workshop are good people to know. If you are keen and can present a good argument, you'll be surprised how willing they are to help.
Any tips on how to apply home brewed shielding to a heat shrinked solder joint?