Use of HF is nice but unrealistic .. what is used IRL (AFAIK) is moving fast for a while, and then stopping for listening. You should be concerned with DEMON, because you want to know if SSBN changed speed. Change in heading is easier to spot, especially if you are tracking SSBN from behind.
If SSBN goes 15kts, go 20 (totally blind), but each minute or two order stop, mark LOB, check DEMON, and again go 20kts. Sphere sensor is best for this. If it is not possible to detect SSBN on sphere, use the same technique with TA, make longer runs because you will need longer stops (slowdowns). When 'running' go at straight at the collision point. Shortly before stopping turn 30 degrees to side. Sub turns better and faster when moving fast. Also use TA deployed only to 1/3, so it aligns faster.
Keep such distance that you can hear nicely. Don't get too close. There is no need.
SubGuru's first mission of 'Red October' is great mission for this tactic. But beware 'crazy ivan' !