If you are looking for big gators try the bay under the I-90 bridge up by the dam. Go all the way to the back and work your way out. They will spawn in there this time of the year. I’ve caught all my nice gators in bays and shallow slow running sloughs in about 3-6 ft. It is never a guarantee to find northerns in every shallow bay. There are other things to consider. ie. current, bottom structure, food…just to name a few. If you can get your boat into Mink Slough, I would try that too.
As far as the pit behind the Hosp. that can be great for Bass and Walleye. Most people this time of the year will fish slow for bass using carolina rigs, mojo rigs, and some hard baits like rogues and traps. A lot of it depends on the trending that JC spoke of in a different thread, and water conditions. I hope this helps.