Deion Jones, Trae Turner, Kwon Alexander, Tyrann Mathieu (though I'll let that one pass because it was said that he needed to get away from the N.O area) Jarvis Landry, Vadal Alexander all come to mind just in recent years. You can debate whether you think those guys were good options, but they were there and any one of them would have made sense. Nobody is saying that the Saints should have drafted every single one of them, but if you don't think there were good players available from LSU then you aren't really looking into it.