Tulane might just be the most LGBTQ friendly school there is anywhere. This is from the official blog of the current director of admissions, who is a Tulane grad, has been with admissions for years and is openly gay. http://tuadmissionjeff.blogspot.com/2016/02/guest-blog-lgbt-life-at-tulane.html?view=mosaic
Also, this student won a full tuition scholarship to Tulane based in part on this submission https://www.youtube.com/watch?v=If9QoqTOMMY included with his application. It was tweeted out to all Tulane followers. Quoting myself from about 2 months ago:
Hopefully that tells you everything you need to know, but if not ask more!