Depending on where/when you're going you very well might be able to use chip and/or contactless at the pump at least once, which so far is mostly skipping ZIP code prompts. Unfortunately that's nowhere near as common as it should be so I wouldn't rely on that.

(Hint: Speedway, Vons/Safeway and Ralphs/Kroger gas stations support at least chip at the pump. Also, Circle K gas stations will ask for ZIP code with contactless/chip for some stupid reason--even inside.)