I dont know about near Orlando, but some of these are close (loosely speaking) to me:
There's one in the Ocala National Forest (free)
Tenoroc as mentioned
Wyoming Antelope Club (only open to the public 9a-1p)
Home
3700 126th Avenue North, Clearwater (727) 573-3006
Saddle Creek Park Gun Range
3716 Morgan Combee Road Lakeland, FL
Dade City Rod and Gun club
Home
35445 State Road 52, Dade City (352) 521-3165
Hernando Sportsman's Club
Hernando Sportsman's Club
16121 Commercial Way (US-19) Brooksville, FL (352) 597-9931
Manatee Gun Club Outdoor pistol / rifle up to 1,000 yards
http://www.manateegunclub.com/
1805 Logue Road, Myakka City, FL 941-322-0055