The following info is from the FAQ section of ESPN360.com:
I have ESPN360.com at home, but don't have access now. What should I do?
Customers of ESPN360's affiliated internet providers can see all the events on ESPN360.com from any high-speed connection using the Remote Access feature! While on your home connection, log into your ESPN.com account, then head to ESPN360.com and click on REMOTE ACCESS. You will be prompted to sync your ESPN.com account to activate the feature. Then, when you're away from home, just log into ESPN.com and you'll be able to see the 3,000+ yearly events on ESPN360.com!
So I think for people with a non-affiliated ISP, you would need to take your laptop to a friend's house that has Mediacom, for example, bring up
www.espn360.com , register by creating an ESPN account (upper right hand corner), then click on Remote Access while you're on their ISP which will sync your login to their ISP. Then if you take your laptop back home, I believe you will be able to go to the website, login (that's a critical step), click Remote Access and I think you'll have full access. If someone gets this to work or if I'm incorrect, please post a message for the benefit of others.