I like to say the picture only showed the preheating! I had a second heat gun on top. But it was not strong enought.
Let me share a picture from the actual state of work! 
The board is still okay, but of course the original LHM6518 has no offset problem anymore.
And I would never ever try something like this without a 3D microscope. It is an very interesting experience to look at 3D inside of the LHM6518 when the plastik housing falls apart, but the exposed pad is still there.
The next, but now untested idea is to use a Weller pyropen for heating on top. But I feel a little timidly now.
The pyropen has much more energy and can easy roast the board.
Olaf
Good god, man!

The problem you ran into, I very strongly suspect, is local overheating of a fundamentally too-cold board.
When preheating, remember that every part of the board you don't preheat is acting as a huge heatsink. So the goal is to preheat the whole board, so the rest of the board isn't sucking away heat like a vampire. With hot air, this means taking the time to gently heat the
entire board (I usually focus on the perimeter of the board, since the center will get hot by being surrounded by hot board). Another approach (which is likely the best) is to use an oven. You don't need to heat to close to the melting point.
Most likely, the board is soldered with SAC305 solder (melting point 217°C). If the board is at 22°C, then your localized hot air has to pump in enough heat to raise the joint by 195 degrees. Because of the heat sink effect of the ground planes in the board, this means the center of the component will need to go FAR above 217° for the pad edges to reach the melting point.
On the other hand, if you preheat the entire board to, say, 120°C, then you only need to add 97° worth of heat to the component, and because the temperature difference is smaller, the rate of heat flow will be smaller, too. This approach is much, much easier and gentler to do.