the actual cost of a trip between times square and the national mall is about $200 all things considered based on the ~0.80 federal mileage reimbursement rate for 250 miles. that train corridor is overwhelmingly successful as well so the idea that amtrak isn't a good deal is at odds with reality.
That's assuming you don't already have a time-depreciating asset in your possession. Per mile cost is about halved if you drive significantly more than average.