I was there probably 7-8 years ago and took one day to drive around to a few bank fishing spots. I took a 2 piece rod in my golf bag with a reel in my carry on. In hindsight, I probably should have hired a guide. I did catch one peacock about 2.5 pounds that fought like a freight train. It was in Cutler Drain, I believe from Bill Sadowski Park? I've had two kids since then so my memory has been destroyed by the sleep deprivation.
Light fluorocarbon is a must and bright moving baits were the ticket. I caught my peacock on a small lucky craft pointer in Nishiki color. I had several other followers but the water was so clear they were super spooky. There are a ton of other crazy exotics swimming around like Midas cichlids and several species of tilapia. I'm glad I did it but would have loved to have caught more than one. Hope this helps and if you go, post up some pics!