The name itself isn't bad, but I hate Bill Bryson with such a burning passion that I couldn't use it myself, and it always reminds me of him. If I ever meet a person who's named their son Bryson after him, I'll punch them.
It's admittedly a cute name, but a little too cute for me. Like Tyson, Ashton, and Braxton, this is a name that would sound adorable for a sweet little boy, but not too nice on an adult. I feel it's better off as a surname.