My favorite places to check the net when my home connection is down is Surf's Up. They're right off 115 when you're going to town. Their number is 787-823-1953. Their Wi-Fi is free.
And I like Banana Dang, up in Puntas. It's another great place for coffee and a Wi-fi connection. They're on route 413, next to the Lazy Parrot. Their number is 787-823-0963.
Oh, and did I mention both places have goodies to munch on while you surf the net?