I think the season is just about over in TN, same as here in upstate SC. As far as the dogwoods blooming rule, I haven't seen that to be true. Maybe in TN it is, I haven't lived there in several years and wasn't interested in morels when I did. But here the morel season is in full swing well after the dogwoods start blooming.
My key spots here are wide floodplain creek bottoms with lots of tulip poplar trees. Those are key, as well as ash trees. Not areas that are constantly flooding and swampy, but areas that flood a few times a year with a big rain. That disturbance triggers growth. If it's currently soggy they won't grow. That soil needs to have drained well.
The skinny morels, often called "tulip morels" (seen in TRIGGER's photo) can almost only be found near tulip poplars, hence the name. They don't get big but usually they grow in thick bunches so if you grab a few dozen you've got enough to be worth cooking and they taste great.
The large yellows I find around living ash trees, not dead/dying ones, and also tulip poplars. Elm trees are great too but I'm not as good at identifying those. Tulip and ash trees I can spot from a distance. Some say sycamore trees grow them later in the season.