I mean he's friends with Barbara and basically a son to Bruce, you telling me he couldn't just be independently financed/owns investment in companies. He wouldn't have to work and he'd be free to travel so long as someone keeps track of his investments and financials which I assume most of the batfamily could handle.
Hell, I wouldn't be surprised if Bruce didn't set up Robin trust accounts for Dick, Jason, Tim, and Damian. He suspects that they will need funds for when they travel on personal business/heroics so he makes sure to allocate funds to them for their hero needs.