The ones I have tried with no nut:
Virginia (FA), Virginia Flue Cured (VZ), Virginia Fire Cured (FA - this one was a bit too floral for me?), Cowboy (FA), Burley (FA), tobacco absolute (but again, to me, this flavor taste more perfumey than tobacco), Real Cig (VZ), Honey Flue Cured (VZ), Shade (did not taste like ANYTHING to me), and then you have the other floral tobaccos I don't really like such as Honeywood (FA). That's just my take on it. I normally abhor anything that tastes like 555 (nutty), but I really like the Desert Ship. It's a little nutty, I guess, but not in a gag-me way like the 555's taste to me.
Edit: Also the Maxx <something> FA flavor isn't nutty.