I honestly haven't given much thought to the detailed Borg solution here yet, but Pike would undoubtedly have some specialists working in it (or would try to find some). He's mostly organizing and he has the overview of what that would be needed besides the weapons, and that's mostly a question of politics. So that's the point where he can actively do something, as opposed to basic research on the Borg details.

Ah, and the Borg of Reboot are NOT the Borg of TNG yet. They're on their way but since the Federation learned about them much earlier now, they're going to be a lot more prepared and if they make a preemptive strike, there will never be a Wolf 359.