Working class 2nd year at DU - there are snobs, but they are mainly contained to themselves, and honestly, you won't have any large issues with them. There is a fair bit of "money-blindness" in my experience, but most people understand that not everyone is loaded, and you will be completely fine if you choose to come here.
Every university from Bedfordshire to Cambridge has elitist people; Durham just seems to get an unfair rep for it (although not entirely unjustified).