I just looked up the regs and it says:

(e) Alcoholic beverages.
(1) The possession or consumption of alcoholic beverages is prohibited on state
park or forest beaches, boardwalks and other areas so posted.
(2) The possession of beer in containers larger than one (1) liter is prohibited. (3) The sale of alcoholic beverages is prohibited.
(4) The Commissioner shall have the authority to ban the possesssion or use of alcohol in any state park acquired or opened after April 1, 2006.
(5) The Commissioner shall have the authority to temporarily ban, for periods up to a maximum of ninety (90) days, the possession or use of alcohol at specific recreation areas if its use is creating public safety issues as determined by the Commissioner.