Without knowing your departure time, your tolerance of Indian train journeys and your ability to get yourself from the station to the airport at a sensible price, its hard to give this advice.
On a cost basis it is no contest, we recently paid just over Rs900 return to Bombay - for two.
But to be honest, most people who consider the train as part of the actual journey, rather than a separate trip end up opting for the vasly more expensive plane, simply on the grounds of simplicity.
I am amazed that you have 11 hrs at the airport who is that with?
(And I hope it was very cheap to compensate!)