Syracuse Airport Parking - How to?

Hello all,

I'm driving down from Canada to fly out of Hancock Monday afternoon. I've been trying to talk to someone/anyone from the airport about parking. Online it seems that you cannot reserve a parking spot and im getting a little worried, seeing is how the holidays are a busy time to fly.

Does anyone have an advice/opinion on parking at the Syracuse airport? My flight boards at 3:35. Do I need to get there really early to get parking? Are there shuttles that take us from the parking lots?

Thankyou for any help