The only way I see it to identify that board is to find someone who has this exact board and ask them to take a photo of that SMD-transistor. Usually in repair shops they do it like this: measure what’s what and where, take old one off MoBo, solder a similar one found by speculated specs and voila. Most of the time that works.
I searched google, there’s NEITHER BIG ENOUGH PICS NOR SCHEMATICS TO SEE SOMETHING THAT SMALL…