www.npcwomen.org
Check to see if there is an Alumnae Panhellenic in your area so you can be put in contact with someone who may be able to write you a recommendation. I'm a firm believer in knowing the Potential New Member when writing recs. In my opinion, I'd never write a recommendation for someone I met online. Hopefully the ladies in your nearest APH will be able to help. If recruitment starts soon, you better get going!
I'm not familiar with Tulane or whether or not recs are absolutely necessary, but it can't hurt to have one. Your best bet would be to call your Greek Life office and get more information there.