I wouldn't pass Bulma to have hit on on Goku when he came back grown up. If Chi hadn't appeared I'm sure she would have made a move on him, just because he had become such
fine man (if you know what I mean).

But I doubt nothing too serious would have come out of that, he's still too naive and simple for her. Bulma would have eventually realized they simply weren't really compatible and Goku wouldn't have cared that much either.
The only other one I would have considered as a match for Goku was Suno. She was kind, was already used to live in the countryside in the mountains (although much colder) and seemed so much more in tune with the overall "we need to stop the bad people!", "Someone needs to do something!".
If Suno would have been Goku's wife, I'm sure their children would have been allowed to train since an early age like Goku wanted. Most likely Android 8 would live with them like an uncle, also helping out with the kids. With some luck they would also be red-haired half-saiyans. xD