Season 3 Episode 2
An escaped con (Kyle MacLachlan) who is running for the Mexican border ends up killing a state trooper (George Del Hoyo), but in the process is cuffed to him (after he has swallowed the key) and has to drag the heavy corpse across the desert to freedom whilst being stalked by a hungry vulture.
Source: Shock SuspenStories #9
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Tales From The Crypt: Complete Series
Tales From The Crypt: Season 3