We can't afford to maintain the surface roads & bridges we already built, and tunnels are more expensive and require more maintenance by like an order of magnitude. (I made that up, but I'm pretty sure it's right, to within an order of magnitude... but if tunnels are 1000x more expensive, then I'm wrong).
I can admire someone who has the resources to exclude himself from the traffic problem instead taking action to try and solve the whole problem for everyone. He could do what other billionaires do and buy a helicopter.
Still, the only way that tunnels can "obviously" solve the traffic problem is if they're so cheap that we can easily build more of them than we ever need -- and we can't currently do that with roads, even if we have the space. New York and Boston and other places have some tunnels, and also terrible traffic.
If we really do have the resources to take on an infrastructure project of this magnitude, wouldn't it be worth re-evaluating why we're driving, and reducing that instead? The problem with traffic is the traffic. If there wasn't all the traffic, there wouldn't be congestion, we wouldn't need more roads & tunnels.
The contractor end of a tunnel building project might be a good deal though. Convince enough people it's a good idea, and you've got big business for decades to come.