You could experiment with a rigid-body in kinematic mode, then changing it when you need RIGID-BODY behavior.
However, I use the following design to make physics based 'kinematic bodies', which is simple. Your kinematic body controls a rigid-body via joint. I recommend using 'stiff' springs and it allows (i would assume bullet) rigid-body to behave well.
I recommend creating a scene to package up the scheme like so:
Spatial (ConveyorAssembly)
KinematicBody (Your tray)
RigidBody (Your parcel)
* Joint (Glue to hold the parcel to the tray)
So just before you tilt the tray, remove the joint. Or remove the joint somewhere during the tilting if it lends to some desirable creative effect.