To ramble about.
A short journey; a pleasure trip.
He looked out for the horse's pace, for he was a careful driver, but he was out for no pleasure jaunt. – Carolyn of the Corners by Ruth Belmore Endicott
" I use 'shopping' as a pretext for a jaunt now and then," she laughed, when they were seated. – The Iron Furrow by George C. Shedd