According to CAN-SPAM, it should be possible to unsubscribe from a given vendor without much issue or fuss (emphasis added for the relevant part):
You can’t charge a fee, require the recipient to give you any personally identifying information beyond an email address, or make the recipient take any step other than sending a reply email or visiting a single page on an Internet website as a condition for honoring an opt-out request.
I'm in Texas, I've tried unsubscribing from some list via their webpage, but it seems like the vendor's system isn't working properly, and I still continue receiving the emails past the 10 days.
Moreover, these emails come with misleading and deceptive e-mail subject headers, which I personally find disturbing and would classify as the real "fake news".
Do I have any recourse?