Find the closest Wifi hotspot. It's no secret that many coffee shops (read: Starbucks) and restaurants offer free internet to its customers. Take advantage of these places to get your work done. Sure, it's not faster than your home internet, but it should be plenty of bandwidth to get your work done. What I do is comple the work that can be done without internet at home, then upload what you need for when you do have a connection. This has the added benefit of raising productivity, since I'm working without the distraction of Facebook.
Use your smartphone. Creating a Wifi hotspot is becoming a popular feature with the modern smartphone (even if it does cost an arm and a leg to use the internet that you already paid for). Those with jailbroken iOS devices or Androids loaded with custom ROMs can often get apps that will give your computer access to your mobile internet for free. Jailbroken iPhone users can check out MyWi. Those with customer Android ROMs can often create a Wifi hotspot by accessing the Connections function under the Options menu.
Use the apps. Many online services, from Amazon to Bank of America, have apps that are just as powerful as their online counterparts. I was just clicks away from getting everything I need from Amazon on my smartphone, even without a proper internet connection. So go ahead and search the app store for your favorite websites, you might just find they have an app for you.
Take a break. We've discussed a lot about the importance of unplugging and taking a break from always being connected. Take this time as your excuse to be free of internet for a week or two. Check out the new exhibits at the local museum or flip through the pages of an old book. Discover ways how people kept themselves entertained before the age of Netflix, YouTube and online gaming.