Quote: H seems to be somewhat receptive to doing things together, and would probably agree to do some things with me if I initiate. But I'm afraid he will go along just to be polite or out of guilt.
Again, who care what his reasons are? If he agrees to, and it doesn't seem like you are literally dragging him, then it's a good opportunity to start rebuiling your R. You do need to spend time together in order to get close again.
Quote: ...although he was very pleasant, we were still in that awkward post-bomb stage.
That's okay. You still had fun together. And you have to start somewhere! Nobody said it was going to be easy. Some of the first few times out with my H felt really, really weird.
Quote: Since the bomb, I've let him take the lead initiating any together time. But even when he might agree to do more things together, is it a good idea to gently push for more?
Maybe not so much push, as ask him or offer. If he declines, just leave it at that and go on. He might be flattered if you want to be more involved in his activities.
Quote: The only other thing he's interested in doing is bike riding and I hesitate to push to become involved in what I believe is his "alone" time.
Maybe there are ways to get involved in this aspect without actually going out to ride with him. Tell him after all he's talked about it, it sounds like fun to you, too, and see if he'll help you pick out a bike to buy. Or ask him to recommend a place for you to go biking. That sort of thing. That way you're still interested in him and his hobbies, but not interfering in time alone.
If he agrees to, and it doesn't seem like you are literally dragging him, then it's a good opportunity to start rebuiling your R. 