There is a Road-Rail Bridge concept in Jat-Srinagar route...for that there will bea daily bus @8:45 from Udhampur to Banihal which will drop you @banihal by 2PM. from there you will have Demus plyign to Srinagar.
Someone from udhampur/Jat can shed some more light on this topic on where we get tickets for this concept and where to buy.