I'm not so sure that there was "nothing." When he tried to do something -- the 27-second video -- he was scorned & criticized. Perhaps that convinced him that silence was preferable.
That video was a microcosm of how Barry has handled this whole thing. It allowed him to control the situation, and not answer any questions he wasn’t prepared to answer.
This is why I believe he chose to go that route:
Barry staged the scene, and believed in doing so he would be above suspicion.
For whatever reason, investigators quickly determined that this was not a kidnapping, which is why they didn’t follow their playbook.
I’m convinced we will learn that Barry was caught out with very strong evidence, as we’ve seen these agencies proceed with caution (posters, appeals) even when they strongly suspect a homicide occurred close to home.
This would have rattled Barry, and it would have been beyond awkward to stand next to the sheriff at that press conference, and repeat things that he already has busted you for lying about.
So instead of speaking to the media as he probably planned to do, he was forced to pivot. He had to do something so as not to be ostracized by his family and friends. Hence the ill conceived video, the likes of which we’ve never seen before.
I imagine we weren’t the only ones caught off guard, but law enforcement as well.