You would need a full orchestra for it to sound like Mason Williams sets.
I dunno, cello or bass-guitar for the backbeat, add violin with sax or french horn if no trombone then would make up the midtones, and a second guitar for backup on the riffs would be a good basic grouping. Add in some amps and some echo delays to make it sound like more than a single of each instrument was playing, and if you want to get even fancier add in a third guitar for some arpeggio and flamenco flourishes and I could pull it off I feel.
One guitar can only get you so far, a la one-half of 'Dueling Banjos' or the first part of 'Stairway to Heavon'. Or "The Town of El Paso" for the southerners out there.
If you play it well enough, people forget about background
and overdubs