they used to do the more uptempo version in the early 70's. it was done acoustic and electric at that faster tempo. i don't have any dates but i've come across some versions on the archive from 70-72 that are quick and awesome.
like jerry and hunter said, the closest they ever came to writing a classic song was FOTD, and the studio version is picture perfect. but its been a while since i've listend to studio dead...
but yeah, find the early 70's electric versions, so good.
a whole new gameball