You can hitch on Silvan Blvd, right after the crossing with Elazig Blvd. There are a few buses going there from the city center, ask the locals.
Accommodation and Sleep
There's an old hippie living in Diyarbakır who owns a cozy place called Cafe Mahya, close to the Ofis Mosque. He is very active on couchsurfing, hosting hundreds of people every year.