Overnight Parking Near Gorham Info Booth?

[ImYourHuckleberry]

I'm wondering if it's possible to park at or near the Gorham Info Booth for a night or two? I'm planning to take the AMC shuttle to Pinkham Notch from the booth, but I'm not sure where I can leave my car. (It seems the trailhead parking at the Carter-Moriah trailhead is very limited.)