traipse

tarpoa, harhailla puhekieltä To walk in a messy or unattractively casual way; to trail through dirt.
1728, Alexander Pope, The Dunciad, Book III, ll. 140-4:

Lo next two slipshod Muses traipse along, In lofty madness, meditating song, / With tresses staring from poetic dreams, / And never wash'd, but in Castalia’s streams ....

After traipsing about in the fog they found the grave sure enough.

She only got handy the Union-house on Sunday morning 'a b'lieve, and 'tis supposed here and there that she had traipsed every step of the way from Melchester.

It was a long traipse uphill all the way home.