The advantage of shooting yourself in the foot if your prototype turns out to be worth a damn is that it forces you to rewrite it with more rigorous development practices ASAP. Usually, choice of a storage engine isn't the only problem with a throwaway MVP - you've probably written it in a language that won't scale, and skimped on error handling, and are using really inefficient algorithms, and didn't bother documenting anything.
That said, I would use PostGres for my MVPs, using it as a key-value store initially until its more clear what the schema should be. That is, if I still bothered using code for prototypes; of late I've been more fond of napkins and Adobe Fireworks.