I'd like to nominate the HtH jam from 4-27-71 as the best. I just picked up this show (one of the 5 shows that compromise the Ladies and Gentlemen...CD set) and it's fucking on fire. I've never been a big fan of the Dead's version of HtH. I think it stems from the first version of theirs that I heard (I'm thinking it was one of those Feb, Capitol Theatre shows from 71) and it was awful. This version has an absolutely killer Jerry jam starting at 4:19 and continuing through to 7:30. Goosebump city.
Not sure if this is the one on Ladies and Gentlemen... or not.
"Now get back to the stands before I shave off half your mustache and shove it up your left nostril. "
Bad News Bears