Regarding your point about Rome - I'm not an expert, but I'd bet the aqueducts provide a valuable service. What are your estimates for how many passengers would need to ride the rail in order to make it worthwhile, and your estimates for how long it would take to serve that many passengers?
Think about the huge amounts of money and the value of the rail (delayed by when you could get that value) and then compare that to other ways you could use that money - for example by leaving it in the hands of the taxpayers.