High-Density Truck Platoons (HTPs) introduce new safety challenges for Human-Driven Vehicles (HDVs) near freeway diverging areas due to their extensive spatial and temporal occupancy. When navigating around an HTP, HDVs approaching off-ramps face two Evasion Maneuver Choices (EMCs): Platoon Front Overtaking (PFO) and Platoon Back Evading (PBE). To evaluate EMCs safety, we conducted driving simulation tests in scenarios with short, medium, and long distances of releasing. We used trajectory data to derive Anticipated Collision Time (ACT) and other behavior and safety metrics. A generalized extreme value (GEV) model based on ACT was utilized to evaluate the crash risk during the lane-changing process to evade the HTP. The results indicated that in the short scenario, the crash risk for PFO is higher, while in the medium scenario, the crash risk for both ACPs is roughly equal. The long scenario sees PBE as the riskier behavior. In addition, the crash risk notably decreases when transitioning from short to medium scenarios, regardless of the selected EMCs. These findings have important implications for the development of lane-changing assistance devices for HDVs and safety-oriented lane management strategies near freeway diverging areas.