Yes, there are multiple flights from Thailand to Fayetteville for under ฿ 42,026. The cheapest flight booked recently is on Multiple Airlines for just ฿ 41,065, but on average you can expect to pay ฿ 64,449.
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 ฿ 53,043, American Airlines can have you in Fayetteville from Thailand in 24h 15m. 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 ฿ 52,172. Additional return tickets that might be worth considering are offered by American Airlines and Korean Air, with the lowest prices starting at ฿ 53,043 and ฿ 177,529, respectively.