Yes, there are multiple flights from Thailand to Fayetteville for under ฿31,185. The cheapest flight booked recently is on Multiple Airlines for just ฿29,221, but on average you can expect to pay ฿53,857.
There are no direct flights from Thailand to Fayetteville, but Cheapflights can provide you with all the information you need to find the fastest route with the fewest stops.
For as low as ฿44,190, KLM can have you in Fayetteville from Thailand in 28h 42m. Both multi-stop and direct flights can be found to your destination and back.
Flying on KLM is currently your cheapest option to Fayetteville, with prices starting at ฿44,003. Another option worth looking into is American Airlines, starting at ฿46,872 return.
To fly one-way, consider booking your trip with American Airlines, which is currently one of the cheapest options available, starting at ฿32,277. American Airlines is not the only option available. At the moment, Qatar Airways is another option, for ฿40,978.