Lower the camera for crouching while allowing it to behave normally?

When crouching, the legs move in a way that requires the Character to lower (lowering the Torso's relative position to the HumanoidRootPart). However, while in this position, I need to lower the Camera so that it lines up with the head, as it would normally, if the RootJoint was unchanged.

While changing the CameraSubject to the Head would get it where I want, it makes the Character visible and disallows the rotation of the character through the camera.

Changing the CoordinateFrame only allows me to set the lookVector, not a Position or relative Position.

How would I lower it and still be able to use it as normal? Thanks in advance.