Unless you need headroom, I personally would think something a bit smaller would be just as much fun on a lake that small. I used to have plenty of fun in the North end of Lk Washington in a Glen-L 8ball, ie a typical 8' pram. My step dad had a glenl 21CB model, more than fun......
There are older Jeanneau and Benateau models in the 25-30' range, and if you can talk a local dealer into bringing a none sold here typically model, both also still make sub 30 even down to 20'ish ft. A Cat 25 or 22 would also make great daysailers on a lake that size too. The bigger the cockpit the better.