It's at your own risk. Typical rule is, if you use a solo cup you're good to go on chix beach. They will hammer your nuts if they see a can or bottle, though. It's an expensive ticket. I ride my bike all the time in the summer with a solo cup, never had an issue. Same on the beach. That being said, like most things, don't be an asshole/shitshow and you'll probably fly under the radar. Way less cops on Shore than Oceanfront, btw. Less tourist trash as well.