Synonyms for Shlep (same or very similar meaning)
WordNet sense 1 ((Yiddish) an awkward and stupid person):
schlep, schlepper, shlepperWordNet sense 2 (walk or tramp about):
traipseWordNet sense 3 (pull along heavily, like a heavy load against a resistance):
pull alongFrom the ODE community, based on WordNetadd/edit