The fact that you were acquitted is great for you in many ways. Whether that fact alone means you have grounds for a lawsuit is another question. Acquittal does not necessarily mean you were found innocent. It simply means that a judge or jury found that the prosecution could not prove their case against you beyond a reasonable doubt. To have grounds for a successful lawsuit, you likely would have to prove that someone in this process (police, prosecutor, judge, accusers, etc.) lied, cheated, or otherwise went way outside of their normal role in the criminal justice system. These are tough cases to prove, but not impossible. You'll probably want to talk to an attorney who does civil rights representation in the context of civil lawsuits against government entities.
A. Did you receive a finding of ACTUAL FACTUAL INNOCENCE from the court (NOT the same as an acquittal, and MUCH harder to get).
Can you prove that the state had absolutely NO evidence, which, even if they believed ALL Of it, on which to prosecute? (i.e., can you prove that they picked you to prosecute simply randomly, or out of malice, and there was NO basis (not even testimony of the accuser) to prosecute you?
Unless you've answered "yes" to both these, you've got no suit against the state or county.