Keep the AppleCare. Insurance policies will only give replacements, which means you could be out of a computer for weeks for what should be a quick fix. AppleCare will allow you to bring in your computer for repairs at a local Apple store and usually have it back the same day or a few days later.
The best method is to add insurance which protects from damages on top of AppleCare.
If your computer isn't broken before the insurance expires, just run it over with your car to get a new one. 🙄 (but seriously, don't do that, it is fraud)