Get a Gould piano (his piano was heavily engineered) 
May I ask, do you know which one? His studio one or his personal one? (unless he used his personal one for recordings).
I was watching The Art of Piano, and his personal Steinway piano does sound like a harpsichord... But some other recordings of Bach's Inventions were not recorded on that piano. One passage I read on Charles Rosen's book Piano Notes, said that Gould made the hammer bounce back and forth repeatedly (heard on his recordings of Bach's Inventions and others) either by breaking the resistence of the keys by pushing the key half way basically, or by disregulating the action slightly.
I once in Brazil, played on a British piano (which the name I do not recall...) that had the feature of imitating a harpsichord, by pressing the middle pedal. The owner said that they they had to remove the stripe that had little pieces of metal on, that made the harpsichord sound, because something was broken. But after researching it on the internet, I found others with the same feature. Just a curiosity...
And yes, the kind of piano that is being played reflects on the performance and on the sound. That is one of the reasons why many pianists have such unique sounds. Gould is a good example, Horowitz liked the N.Y. Steinway's bell like sound, and Michelangelo always had his personal technician by him to make the wanted adjustments...