OK, in the interest of making this thread less dull (how quickly are the turns turning over, anyway?), I'll crunch some numbers! Yay, excitement!~
So, our Worker completes same turn as Animal Husbandry now. And then an estimated 9 turns to mining.
T0: Move to Sheep. Start Pasture (6 turns)
T5: Pasture complete.
T6: Move 1N, Begin Farm (5 turns)
T10: Farm complete.
T11: Move 2S.
T12: Begin mine (4 turns).
T15: Mine complete.
T16: Start road (2 turns).
etc.
I figure we should put roads on rough terrain while we already have the Worker there, unless we need another improvement more quickly.
Alternatively, we could mine the grassland hill first . . . Let's see. T11: Move 1NE, 1SE. Mine, Road. Yes, that'll work better!
OK, ignore the junk up there:
T11: Move Worker 1NE/1SE to grassland hill.
T12: Start mine (4 turns).
T15: Mine complete.
T16: Start road (2 turns).
T17: Road complete.
T18: Move Worker 1W/1SW/1S. We can get to the plains hills in one turn this way. Rinse and repeat mine/road.
If we went for the plains hills first, we'd waste an extra turn getting to the grassland hill. Plus, the grassland hill provides a food, for slightly faster growth. This seems to be the way to go.
We'll probably want to make Genesis a Bowman/Settler factory and grab the prime spots ASAP. Pottery will be a critical tech for Granaries and cottages, plus it's on the way to Writing.
What did we say we're doing?
Animal Husbandry > Mining > Bronze Working > Hunting > Archery.
Possibly swapping Hunting/Archery earlier if needed? Maybe:
Animal Husbandry > Mining > Hunting > Bronze Working > Archery.
This would let us swap to Archery more quickly if Barbs start becoming a problem. Our Worker will run out of things to do without being able to chop, but it may be a worthwhile trade-off. Plus, Scouts.
Probably want Pottery > Writing next.