best bet is to buy yourself a USB CD-RW which (since the floppy is also USB) should allow you to boot from it and the Win 2000 CD is bootable--you may however actually have to download the specific boot diskettes because booting from CD may not be a BIOS option.
Your model was actually designed to work with the Port Noteworthy 24x CD-ROM drive
This page might be helpful (do read the linked text messages--click on the specific text icon for the boot disk) - http://22.214.171.124/support/Download/Bdisk.htm
This following link, while not specifically for your model, swhould provide guidance as it does mention using a USB CD drive:
I bought a used Toshiba 3480CT laptop, currently running Windows 2000. I want to do a fresh install (delete all data on hard drive) of Windows. The problem is it has no CD drive and no Floppy drive. I can buy their external Floppy drive and boot from it, but then what do I do? I've read about booting to DOS and formatting the hard drive? How do I do that, if I even should? Any suggestions?