WPA Enterprise Wireless Bridge
Solution 1:
It should be possible to use two routers to work-around this problem, assuming you know your WPA Enterprise login credentials, or have access to them where they're stored on your PC. (Or even a single access point with multiple radios, but the setup is probably more complex.)
You can use one router to connect to the WPA Enterprise network as a client. See this
Then use the second router to host a network that shares the first router's connection using NAT.