The American Quarter Horse Museum is a great place to visit.
Don’t forget the panhandle Plains Historical Museum in Canyon.
The Alibates Flint Quary about 20 miles NE of Amarillo is the only National Monument in the State of Texas.
The Big Texan Steak Ranch is a fun place to visit and they actually have good food and service.
If that doesn’t keep you busy I bet a few guys that would be happy to show you around!