Hot air is the answer. There are specially made irons for those devices, but hot air, while slower works just as well. If you have a way to preheat the board, say to 150°C, it will help. Crinkled aluminum foil (kitchen type) is what I use to protect other components from the blast. A little Kapton tape may help and is quite temperature resistant. How do you plan to grab the chip to remove it?
I am assuming you do not have the program to use with a new chip, so if the chip is bad, the device is junk or pay $$$ to get it repaired, which may not be possible after an attempted DIY repair. If the chip is good, then you are wasting your time and risk ruining the ship. Those threads that pass for pins are quite fragile as are the pads. Bottom line, I wouldn't do it to test a hypothesis, and if the chip is bad, you are wasting your time anyway.