Seems to me you shouldn't be waiting for her to be attracted to you, you should be using touch to encourage her to be attracted to you. Start pretty much immediately. And don't be so freaked to touch. Touch is more than just getting chicks to bang you. Friends touch. Families touch. People touch. It's normal, or it should be. I was raised in a family that didn't touch much, and had to learn to get over it, so I know where you're coming from.
So...to get yourself over that fear when it really counts, work on it when it's less critical to success.... Shake people's hands EVERY chance to get (when appropriate). When talking to your buddies, make a fist and lightly punch them in the arm as a greeting....just kinda touch people (without going overboard of course) and just get used to it. Get a dog/cat and pet it. If you can make a dog happy, you can make a woman happy. ....hell, take a massage class....that'll get you over it.
And you can initiate kino by lightly bumping/brushing up against your date's body with yours (your side to her side)....and do this immediately...after you get her to wherever you're going, and you are walking from the car.
Ultimately, it's our job to set the tone from the start, right?
And you don't have to think of it so much as a blatant sexual advance, but as normal human affection....that kind of takes the pressure off. Chicks like to cuddle and touch, they won't get all bent out of shape if you take it that way, but at the same time, it'll keep you on the right track.