Full moon in May or the first few days before or after. I used to fish with a fly-rod for Reelfoot Bluegill way back in the day. It is a shallow lake and the bream bed continuously through summer so you can catch bream all spring and summer long. They don't have to actually be bedding. You didn't mention how you wanted to fish and what baits you care to use. In my opinion, if you want numbers, use a cricket a couple feet down from a pencil float and fish around any Cypress tree or the ring of Cypress knees around the trees. You will catch fish. Tossing a small jig on ultra-light (2" Mister Twister always worked for me) will get you bit as well. Also this will get you the occasional crappie and bass. Small crankbaits such as Strike King Bitsy Minnow worked slowly will get you some of the bigger ones. Except for the very coldest times of the year the Reelfoot Bluegills are willing!

Also all of the Resorts have guides for hire. In my experience, they are worth the cost for the invaluable knowledge they can pass to you. You will save lots of time searching for fishing holes, and they can give you ideas of where you can and can't run your boat. The submerged stumps are nearly everywhere.

Enjoy Reelfoot. It's one of our National Treasures!