Asking someone on a date using Facebook?

So, there is someone who I've been meaning to ask on a date for a long time. I would prefer to ask her face-to-face but unfortunately I will not have an opportunity to see her until January at the earliest. So would it be okay to ask on Facebook? We already know each other well and feel very comfortable around each other.

What do you think would be the best way to ask her on Facebook?
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Thanks for your responses so far! I just want to add that I don't have her phone number. We are both in college and live off campus (1 hour away from each other). I understand that Facebook is not ideal but I think it's the only option. Do you have advice on what to say to her on Facebook?
Asking someone on a date using Facebook?
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