The Collaborative International Dictionary of English v.0.48:
Tramp \Tramp\, v. t. [imp. & p. p. Tramped; p. pr. & vb. n.
Tramping.] [OE. trampen; akin to LG. trampen, G. trampeln,
LG. & D. trappen, Dan. trampe, Sw. & Icel. trampa, Goth.
anatrimpan to press upon; also to D. trap a step, G. treppe
steps, stairs. Cf. Trap a kind of rock, Trape, Trip, v.
1. To tread upon forcibly and repeatedly; to trample.
2. To travel or wander through; as, to tramp the country.
3. To cleanse, as clothes, by treading upon them in water.
Moby Thesaurus II by Grady Ward, 1.0:
27 Moby Thesaurus words for "tramping":
ambling, ambulation, backpacking, footing, footing it, footwork,
going on foot, hiking, hitchhiking, hitching, hoofing, legwork,
lumbering, marching, pedestrianism, perambulation, sauntering,
staggering, strolling, thumbing, thumbing a ride, toddling,
tottering, treading, trudging, waddling, walking