Huntsville area:
Swan WMA Creek, Tanner AL, west of Hwy 31/I-65, north of Hwy 72; pistols 25, 50 and rifles 100 yards, skeet trap ranges.
Hurricane WMA Ridge/Wren WMA shooting range, ~13 miles south of Wren, AL in the Bankhead NF; 100 yards
Skyline WMA Range, Skyline AL, 200 yards
Blue and Grey R&P range, Guntersville Dam; 25 and 50 yard pistol, 100 and 200 and rifle ranges.
Madison County Shooting Sports Range, New Market, AL, pistol and skeet trap
Cavern Cove Shooting Range, Woodville/Cathedral Caverns, AL, cowboy shooting ETA: In addition: IPSC/USPSA, Steel Challenge matches as well.
Strategic Edge, Chapel Hill, TN; Tier 1 shooting facility, owned and operated by a world class shooter; rifle ranges to 1300 yards, pistol/IPSC matches. +1 year wait to join, has several training classes you can take. If you can only go to or join one range in this thread, this is the range you want.
Top Gun indoor range, 5 miles east of Ethridge TN, never been, don't know anything other than their site
Eagle Eye Shooting Range, east of Summertown TN; been by once, looks pretty good, other than that don't know anything other than their site (which is a POS Facebook page). Looks like pistols and skeet trap only.
I hope this helps. I prolly forgot a couple. For example, there's a range north of Dunlap TN but I don't recall the name right now. Further away, there is a +1000 yard range NE of Pelham TN. Arnold AFB,TN has a 1000 yard range and holds monthly High Power matches.
NOTE: The three AL WMA ranges listed above require either an AL hunting license or WMA stamp. Check their respective WMA range page on the web and make sure you have what each requires! Get caught by the local Game Wardens and bad things can happen; especially at Swan Creek since the local Game Warden office is just down the street. ETA: