[Philip] developed a method of tracking down the pins of a Ball Grid Array. He wanted to do so in order to add USB host functionality to his HP Jordan 720. The method doesn’t directly connect to the BGA but instead finds a via or other access point to serve as a solder point. He first looks up the pin in the BGA datasheet. Once located, he uses the bristle of a toothbrush (teal) to act as a backstop and feeds in some enameled wire (brown) to the appropriate ball. A multimeter is used to check connectivity between the wire and the vias around the chip.
Patience young grasshopper, this should work but it might take a while.