I recently joined this forum and am looking through threads so you have probably figured out some roads by now. I just moved to Shreveport, LA from B'ham last August.
Great roads to ride are route 25 just east of B'ham - around 29 Dreams area and beyond. Route 5 going south to Mobile is pretty good, can get busy at times with logging trucks. Head out towards Broodwood, just north of Tuscaloosa, great roads all around there. Very good roads are just north of you around Gadsden, Ft. Payne area, absolutely beautiful roads around there. Those are just some of the places in your area, statewide, plenty of scenic roads east, north and northwest of you. Also Anniston area has a few good roads.
Dealers are a little harder - I had a Honda when I left the 'Ham and just bought the V a few weeks ago. I really don't have any dealings with Suzuki dealer but I believe there are only two, one in Trussville area and the Big Number One Suzuki right off 65 - downtown area. You are in a good area with a large motorcycling community with lots of activities. Ride safe.