Games vs. Indiana and Kentucky give UNC a tough non-conference schedule Posted Jun 9, 2016 We've got UNC slotted as the No. 7 team in the early Top 25 headed into next season. So, will the Tar Heels have a top-10 schedule? The school has announced what teams it will play in the non-conference next season. The CBS Sports Classic tilt in Vegas vs. Kentucky -- heck yeah. The Tar Heels have a 23-14 all-time series lead over the Wildcats. (CBS Sports)