I doubt he'll get suspended. There's no bases for a suspension, particularly with a not-guilty verdict. And, no, Goodell can't arbitrarily suspend him if he has committed no actions that violate the NFL's code of conduct or behavior. A woman accusing you of domestic violence when there's no evidence and no ruling supporting the claim is not sufficient grounds for a suspension.
And please don't bring up Hardy. A judge ruled Hardy had committed DV, and the case was thrown out because the witness disappeared so the case did not go forward. Furthermore, Hardy
AGREED to the suspension.