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.
   i., Tread.]
   1. To tread upon forcibly and repeatedly; to trample.
      [1913 Webster]

   2. To travel or wander through; as, to tramp the country.
      [Colloq.]
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   3. To cleanse, as clothes, by treading upon them in water.
      [Scot.] --Jamieson.
      [1913 Webster]

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