New member dilemma

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Hi everyone! I'm a Freshman at a large state university. I pledged during Spring Rush and have loved every part of being in my sorority. The Fall new member class was 50 or so girls and in my Spring group there are fewer than 10. I'm doing my best to eat at the house when my schedule allows, and I've been to all the new member meetings. I also helped out with a philanthropy activity that our house did. My problem has to do with the fact that I don't drink, and I'm pretty uncomfortable in situations where there is a lot of drinking involved. Since I've pledged, there have been a few mixers with fraternities that I've not gone to and there is a cocktail coming up that I'm really anxious about. There is also a Formal at the end of the year. I am not at all judgemental about people that drink, I just choose not to. I grew up in a small town, went to a small school and wasn't really exposed to a lot of partying. Do you think it's going to look bad for me if I avoid all of the parties and just do the sisterhood stuff? Since I pledged with a small group, the Fall girls have all had time to get to know each other really well and they are still just getting to know me. It won't be long before they figure out that it's not a coincidence that I bow out of every social activity by saying I have a paper or an exam or something. Can I keep dodging the social stuff and still be a decent sorority member?