We can't build Spearmen without Hunting. And while there is one tile that would allow barbarians to get to us in 3 turns, it is much more likely to be 5. So...
Send our capitol garrison out next turn, with overflow and if we adjust our citizens to work 10 hammers, our next warrior will compleate in 1 turn.
That warrior can also explore while we build the settler, because we could still build another in time if barbarians are spotted.
If we chop a forest (30 hammers right?) we can then build the settler in 6 turns by adjusting citizens to work 12 hammers + food.
EDIT: After we connect copper it will be Axemen only. With growth at 0 we can build them in 4 turns.