You've got quite a situation on your hands, being persued by three vessels! What you need to do to have any chance, is firstly try to dive until you reach a "Thermal Layer". Your crewmen usually announce when you arrive. The colder layer of water will help to deflect some of the sonar waves, and make detecting you alittle more difficult.
You also need to be in a state of "Silent Running". This will reduce your noise signiture to the listening ears above. Also try to show the smallest surface area to the destroyers. In other words, if the destroyer is pointing South and heading towards you, and you're pointing East/West, you've got your whole broadside exposed for the sonar waves to bounce off of. Try to orient yourself like the escort, to present a smaller, slimmer profile. Hope this helps alittle.