I'm a kayaker. We call what you experienced a "sleigh ride". I have yet to hook up with a really big fish while in my kayak. I've had my boat turned around 180 degrees while trolling for White Bass, but never a good, solid, hookup with a big fish.
Last year a buddy of mine was hardware fishing for Striped Bass in his kayak, and managed to catch a 30 lbs Blue Catfish. He said that thing dragged his kayak around for an hour before he managed to land it.