Look at the local ride groups. The Fayetteville Wheelmen, and BMC Walmart club have some good routes if you pull up the website and Facebook page (are we allowed to link stuff? Ima not for safety)
Rapha Bentonville has a Fayetteville side to it. I am not sure if the Strava is public, but they have good routes too. Honestly, if you just pull up bike reg and just start putting pins down, you will be good. Just make sure you go south. North is way to busy most of the time.