You need recs, everyone needs recs. I’m going to be honest your GPA is a 3.3 which is on the lower end. The easiest cut to make after round one when you’re having to cut a large amount of women is to start with arbitrary items such as a lower GPA or not having recs. There are thousands of women going through and each chapter does make use of the recs they receive.
The sororities are all members of the National Panhellenic Conference, they have alumni associations that you can contact for help in finding recs. This link is to their map of their groups, there are a few in Vermont so I’d start there.
https://www.npcwomen.org/map/default.aspx
Please make sure you take the time to really look into Greek life and it’s associated costs. It’s not just the mandatory fees, it’s things like t-shirts, crafts, event photos and a million other little things that add up faster than you think. It’s a big financial decision. You don’t want to be a position where you can’t afford your dues.
Are you going to be visiting campus?