How would I do this? Sorta like Serious Sam 3 does.
You can try adding a sphere collider to the character, placing it at head level and disabling collision on it until the character dies. When you want it to fall to the ground, enable physics on the sphere and parent the camera to it. If you want the camera to pitch and roll as it falls you can try calling AddTorque on the sphere or animate it in the tick event, just make sure to turn off UseControlRotation on the camera.
