it most likely has a sealant between the front and plastic case to prevent vibration at the seem, which is common with that type of construction.. These things will stick like mild glue..
With the screws half way, wrap the unit in a soft wrap of some kind like foam rubber so you don't scratch it, rest it on a pillow and use something like a piece of wood to hit lightly against the screws that are half way out.. The shock should push on the plastic behind and break the bond!.