If they did hit a tree causing total loss of control would it have impacted nose down as it appears to have from seeing the wreckage. In my own mind i would have thought it would be spinning or just fall like a stone shortly after the blade touched something. It travelled a reasonable distance from the possible initial collision.
As i said earlier I am no expert but could it have been trying to achieve forward flight with nose down as thats where majority of the damage seems to be? It could have struck a tree as a result of something mechanical going wrong rather than visibility being the initial factor. Part of me thinks the pilots would have been in and out of Gillingham fairly often and even in low visibility would have been well aware of all the nearby hazards and have a safe height they knew they needed to reach to avoid any obstructions.