Not the official word from the man himself
From the Herald:
"When I knocked [the Tigers] back I think I did regret for a week or so afterwards,'' Bellamy said.
''That [the children] was the main reason [for rejecting the Tigers]. I know a lot of people think it wasn't because I then accepted another job, but I made the decision and regretted it and then thought I may never get another chance here so when it came up again so quickly I decided [to do it].
''I really wanted to have a go at being a head coach and I didn't know if I would get another chance if I knocked back this one. Two years [later] would have been ideal [timing] for me, but you just can't pick your times in this caper.''
From Fox Sports
The Tigers also tried their luck with Bellamy but he wasn’t quite ready to move his life so knocked back the offer. At first he wondered if that was the right decision and questioned if he’d ever be offered another head coaching job... and then the Storm called.
“I got an offer off the Tigers too but I knocked that back because at that time my wife wanted our kids to finish school before we moved anywhere so she wasn’t going to come down,” he said.
“But when I did knock that job back I felt like I might not get a (head coaching) offer again. So I was very lucky about six weeks later the Melbourne offer came and I was pretty keen to take it then.”
I've also read it (From him I believe) That he'd heard some senior players weren't on board with him as head coach at the Tigers back then (Maybe wanted Langmack)
And he took exception to that...