Just to help clarify, I find no proof of any states having a ban on tobacco products or cigarettes after 1927 which is before WWII. If you wish you check this site out, here are some excerpts from its document. And they just mention cigarette NOT tobacco as a whole.
Rising of the cigarette
1900: REGULATION: Washington, Iowa, Tennessee and North Dakota have outlawed the sale of cigarettes.
1901: REGULATION: Strong anti-cigarette activity in 43 of the 45 states. "[O]nly Wyoming and Louisiana had paid no attention to the cigarette controversy, while the other forty-three states either already had anti-cigarette laws on the books, were considering new or tougher anti-cigarette laws, or were the scenes of heavy anti- cigarette activity" (Dillow, 1981:10).
1905: POLITICS: Indiana legislature bribery attempt is exposed, leading to passage of total cigarette ban
1906-04: SMOKEFREE: IN: Richmond resident Orville Stanley is arrested and pleads guilty to possession and unlawful use of tobacco. Fines are suspended because he is a minor.
1909: 15 states have passed legislation banning the sale of cigarettes.
1917: SMOKEFREE: Tobacco control laws have fallen, including smoking bans in numerous cities, and the states of Arkansas, Iowa, Idaho and Tennessee.
1922: REGULATION: 15 states have banned the sale, manufacture, possession, advertising and/or use of cigarettes.
1927: LEGISLATION: Kansas is the last state to drop its ban on cigarette sales.
1939-1945: WORLD WAR II
As part of the war effort, Roosevelt makes tobacco a protected crop. General Douglas McArthur makes the corncob pipe his trademark by posing with it on dramatic occasions such as his wading ashore during the invasion and reconquest of the Philippines. Cigarettes are included in GI's C-Rations. Tobacco companies send millions of free cigarettes to GI's, mostly the popular brands; the home front had to make do with off-brands like Rameses or Pacayunes. Tobacco consumption is so fierce a shortage develops. By the end of the war, cigarette sales are at an all-time high.