One of my favorite groups to drive players crazy with was another group of 5th ID survivors who headed out of Kalisz in the same general direction as the PCs (toward Krakow). This group, a much attrited combat engineer company with a couple 113s and some soft skins, rapidly went marauder and endlessly complicated life for PCs -- making locals very hostile to US personnel, keeping Soviet and Polish units patrolling hard along their general line of march.
It took my players a little while to figure out what was going on and a while longer to figure out a plan to resolve the issue. The fact that the bad guys were American complicated things for the PCs and really reinforced the "good luck, you're on your own" premise of the game.
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