As with others, I experimented with several civ's that have eco bonuses>
Mongs, Mayans, Chinese, Brits & Persians, & achieved a FA time of under 5 minutes with each. The best times were Mongs for their Hunting bonus & Persians for their +50 food start.
Oh dear (to the comment below) Did I C something that no one else did? How clever am I?! That's a rhetorical question.