Fix Needed - Backpage has blocked my website from Scraping

I own an escort site which was using a PHP Script to scrape escorts ads from the adult section of Backpage dot com to populate my site and give it a quick start. Recently I have noticed that MANY [around 85%] of the cities which my website is attempting to scrape from have blocked it from scraping. My site is hosted on a Host Gator server and I am not sure how Backpage is blocking it from scraping, but I believe it may be blocking the IP address somehow. I am not sure on how to resolve this problem, so I am calling on any experts to chime in on how to fix this. I am interested in ALL angles and perspectives available for fixing this.