Animating drawing line

[lindsaycb]

I have a logo that is attached and what I want to happen is have the squiggly lines show up one at a time.

I thought this was gonna be easy and so I used a mask. However, I can't just make the line bigger and then use a shape tween. It just wasn't working for me. The line wasn't staying on course.

Only thing I can think of is to use a mask and put a keyframe in every single frame until the whole things shows up. Which is getting to be quite tedious.

Is there a better way to do it? Any suggestions?