Man, Tyler. I so applaud you for wanting to continue to find a relationship with your son. Many people now, just don't...and that's when kids can suffer.
FWIW, it can be hard for kids to talk to any parent/adult...so don't worry about that. I do agree with just doing something fun, but don't expect a darn thing. Nothing, just go.
And then, let HIM lead it. When he's ready, he will. Could take a long time, doesn't matter though, because this really is about your boy and what he needs. If he needs time, give it to him.
As you know...the very most important thing you can do for your boy, is to remain sober. The rest WILL fall into place.