I linked you the pinout of the JSPI1 header. That means, this header (a set of pins on the board) is connected to the pins on the BIOS chip, pretty much. Eight pins of the header directly correspond to the eight legs/pins on the BIOS chip. Therefore, if you hook it up correctly, the following procedure would be no different than clamping directly onto the BIOS chip and flashing that way. With clamp, i mean what you called "tweezers". What you put on the BIOS chip.
Here is another example,
The left is the JSPI1 header, the right is the BIOS chip, they're connected. So anything you'd do on JSPI1 gets to the BIOS chip. This is the same pinout as the one i linked before, so it seems it's always the same. Now, apparently, if you don't have a seperate JSPI1 header anywhere on the board, then the JTPM1 header will do this job. With the same pinout as you see here. That is the header to the left of the BIOS chip.
If you find all this way too complicated (and it is not easy, admittedly), then you need to find someone who has done this kind of thing before. Ask some repair shop or something.