Slight clarification due to some lack of signs - from Memphis take either I-40 or I-55 bridges across the Mississippi River, then I-55 North for about 3 miles from West Memphis to Marion, AR exit and pick up US Hwy 64 west. Parts of US 64 in Memphis are signed for city streets rather than the interstates. Some city streets may not be much fun towing.
Take US64 east out of Memphis to US167 at Bald Knob. Go north to Batesville. Just south of Batesville, take AR14 to Mountain View. The road gets progressively curvy, but roads to Mountain View are like this. But it is scenic.