TRACON Controller reported a NMAC with an IFR aircraft and VFR aircraft that had departed from an underlying airport.

Narrative

JWN Tower requested release of Aircraft X departing off Runway 02. The heading pre-coordinated with any departure off RWY 02 unless otherwise coordinated is Runway Heading. I told JWN Tower 'Aircraft X Released'. Aircraft X called my frequency and was immediately in conflict with VFR opposite directions traffic. I issued a traffic alert. I was unable to advise a turn due to terrain (antennas) to the right; and the VFR target appearing to be a left turn. Aircraft X responded he was in a dive and turn for the traffic. After he passed the traffic; I resumed control instructions. I suggest training (OJT; over the shoulder; etc..; NOT CBI OR ELMS) to the JWN Tower controllers on how to depart aircraft with VFR aircraft:-Crossing the departure corridor-Opposite direction on either downwind-In proximity to the released aircraft's assigned departure heading.This is not the first time I have issued a traffic alert to an IFR departure on a VFR aircraft in JWN's Class D airspace. The BIGGEST thing BY FAR that I whole heartedly recommend in order to STOP this from happening is by getting JWN Tower equipped with Tower Radar Display just like BNA Tower and MQY Tower. This piece of equipment is INVALUABLE to controllers to help their scan; plan of action; traffic exchanges/alerts; control instructions; VFR traffic pattern; terrain guidance; and safety amongst VFR/IFR and VFR/VFR aircraft.