HB wrote:Ideally four+ hours, but in a pinch, I admit that I've placed the jar on top of the espresso machine to speed things along. I know, I know...

No shame in that! To paraphrase Gen. George Patton, "Good coffee now is better than perfect coffee this afternoon!"
Besides, if you let the rest of the coffee come to temp at a 'normal' rate, you can still have perfect coffee in the afternoon.
Let those amongst us that have not gone to suckle at the teat of the Green Siren, like, say, at O'Dark-Hundred on a layover in the airport, cast the first stone.
