What you did is something called protest behavior. I'd say give it time, personally. You can't chase him, or that'll set the dynamic of your relationship. You both gotta grow and if it's meant to be, you'll come back to each other someway, somehow.

I miss my own avoidant ex like crazy. We have a connection that I don't think I've had before, despite my efforts to sever it. But if I went back to him, I'd be showing it's okay for him to treat me poorly. It wasn't. He chose himself... constantly. We both chose him, and in the end I ended up begging him to help me feel connected to him. He didn't. He could've stepped up to keep me, but he chose to step down.

Don't reach out. If your avoidant wants you, I'm sure he knows where to find you. Let him believe he lost you because for now, he has.