Like @CaptainHarley, I’m at the edges of my legal knowledge here. Still, it seems to me that he is correct that a US citizen might be able to claim antecedent harm via an unconstitutional limitation of ones civil rights (especially if we’re actually not allowed to talk about it—the First Amendment may not give me a right to know, but it certainly gives me a right to discuss just about anything I discover). One would need to be tactical, however, and make sure to file in a court that is unlikely to dismiss. If the Supreme Court is interested in getting this overturned, they may just take it up after the initial rulings.
Alternatively, there might be the possibility of challenging it by successfully resisting arrest under the law, going to some sanctuary, and then filing a suit from there. This would be quite tricky and might get one locked away upon leaving the sanctuary to appear in court, but then others would know about the suit and one’s lawyer might be able to pursue it on one’s behalf. I’m really not sure on this one, though.