It is during Hurricane season but that season doesn't usually peak until late August and September. The chance of getting caught unexpectedly in a tropic storm are minimal. Most of the time the weather guessers will give you plenty of warning before one hits, tho there are rare storms that form just off the coast. And we are in what seems to be a Hurricane Minimal period of history. Not one storm has affected the US this year. And this isn't the only recent year like that.
No numbers to back me up, but as a long time Hurricane watcher, I say that Texas, Mexico and Louisiana will see most of the early season storms and those storms tend to be what we call 'rain events'. Minimal wind and lots of rain that form in the Gulf.
Every part of the country has some sort of natural events that plague it. Do you avoid California because they have earthquakes and fires?