Can Swype be downloaded from a PC and transfered to the phone by a USB cable?
This is the direct download link to the Swype Installer APK: http://swypemedia.swype.com/beta-d1/media/installer/Swype-Installer-2.0.apk

You can access this from any device (including a desktop computer).

Swype uses the installer app for it's licensing system.