Most computer also support network boot. If so do the following:
https://help.ubuntu.com/community/Installation/Netboot
That page also has a link to the mini.iso. That can be extracted and the files copies to your flash drive and booted off that if possible. Otherwise if you can boot off a floppy linux that allows you to access the flash drive, perhaps you can then copy the files to your hard drive to bood them (they are loaded to ram so it is okay if they are on the same drive you want to install linux to).
Otherwise, just remove the hard drive and connect it to another computer, and put the contents of the mini.iso on it.
Oh, if you do extract the mini.iso, the only change you need to do is rename isolinux.cfg to be syslinux.cfg.
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