First off welcome to Alabama! You will be experiencing some culture shock if you are moving from Hawaii but what we lack in breathtaking vistas, perfect weather year round, and coconut bikini laden hula dancers we make up for in southern hospitality.
Not much of a cigar scene here but here are a couple of good places near you.
Humidor Fine Cigars & Wine
5630 West Main Street
Dothan, AL 36305
(334) 792-6022
It has been a year or two since I've been to this place but they have a decent inventory and the people working there seemed nice. Liga Privada, Fuente, La Flor Dominica, Perdomo, and sometimes tats.
Ozark Cigar Company
164 South Union Ave
Ozark, AL 36360
334-733-9665
https://www.facebook.com/ozarkcigarcompany
My inlaws live in Ozark so I sneak off to this place every time I am in town. Their selection is pretty modest but you will not find a better place to hang out for a smoke close to Rucker. John is the owner/operator. He works a full time job and runs the store on the side. He is not getting rich trying to run a cigar shop in this area. He only does it as a labor of love. They have a big screen TV and plenty of comfy leather chairs so it is a cool hangout. They also have one or two events a year. There was a big Rocky Patel event a few weeks ago with BBQ and some giveaways. If you want to support a small local business this is the place to go.
If you want to drive a couple of hours go to Harbor Cigars in Destin, FL. They have an amazing selection of cigars and the staff knows their stuff too. Plus Destin probably has the best beaches on the Gulf Coast and plenty of attractions/shopping.
http://www.harborcigars.com/
Harbor Cigars
4424 Commons Drive East, Suite 2C
Destin, Florida 32541
I live about 45 min north of Rucker. If you ever have any questions about the area hit me up.