At least two places:
1) CFRPC-Central Fla Rifle and Pistol Club (I recently became a member)
2) Chuluota Sportsmen's Club (CSC) (I was a member until just last month and let it lapse to join CFRPC)
Both are good. CSC is smaller with maybe 5 or so lanes each at 25, 50, 75, and 100 yards, plus a trap/skeet shooting area. It's in what used to be the country but now has houses springing up within 1/4 mile. Last spring a neighbor had a .40 cal bullet go through her window and things got stricter. Used to be unsupervised; since then there's an RSO there which added to the club expenses, and you have to sign in/out and they're stickier about the rules. To join, just fill out an application (you have to meet certain reqmts like show you've had gun training and are an NRA member), mail it in, and go through a weekly orientation session and that's about it.
CFRPC has a few more hoops to jump through to join, it takes a month to join and you can only do so at the monthly membership meetings. CFRPC is larger and more organized than CSC. More lanes at each shooting distance, and ranges go up to 300 yards. Plus a trap shooting area (nothing larger than #6 birdshot though) and a plinking range. They have a clay-thrower (whatever it's called) set up in the trap area so you can go there yourself if you want and shoot clays, if you bring the clays. CFRPC hosts IPSC, IDPA, 3 gun, cowboy, and other matches, plus classes of various kinds, which was my main reason for moving over from Chuluota Sportsmen's Club.
CSC (Chuluota) has trap night every Thursday, no membership required. IIRC it was ~$8 for 50 clays plus your shells, and the club subsidizes the cost of those down to like $4 a box. Chuluota SC also has trap (and silhouette too) the second Sunday of each month, no membership required to do those either.
