Although I am a lawyer, I am unable (and it is unethical) to give you specific advice on a forum such as this, but I can only give general advice. Trying to break an employment contract and potentially getting sued for damages should never be taken lightly. You ought to consult a lawyer before deciding to do anything at all. Your state bar association can refer you to lawyers if you do not know of any. And if you are low income, there are legal services organizations that might be able to help you. Try to talk with an attorney who has experience in contract law or employment law.
In general, most contracts contain damage clauses that the party wanting to break the contract must pay. Read yours and see what it says, if anything. This of course does not mean that your employer will still not sue you. And even if you are judgment proof, there is always a paper trail which may or may not affect future employment potential. Many employers these days ask whether you have been a party to a lawsuit before, sometimes right next to the question of whether you are a convicted felon or not.
Please talk to a lawyer before doing anything. Good luck.