If I had to pick a week to fish the 1st week of April is traditionally a great time. I personally prefer Kentucky Lake, but Barkley is probably just as good. As you know water temp is a big player, but if you find isolated cover on flats in 6' to 10' of water you should catch some fish. Fish are on the banks as well, but 20 boats have probably cast to the same laydown as you by 10:00 a.m. and the isolated brush on the flat might not have seen a jig yet. Good luck.