I would build a warrior for 5 turns, then go worker for 3 turns, switch back to warrior to get overflow into the first work boat (so it can complete in 10 turns).
Then I would grow to size 2 before completing the worker.
I guess you mean "so the workboat can complete in 11 turns". 2 carryover plus 4*11 production.
5 turns (1/2/0) => +5 food (5), +20 hammers in warrior (20)
3 turns (1/2/0) => +21 hammers in worker (21)
1 turn (1/2/0) => +1 food (6), +4 hammers in warrior (22+2)
10 turns (1/2/0) => +10 food (16), +40 hammers in workboat (42)
1 turn (2/1/0) => +2 food (18), +3 hammers in workboat (45)
1 turn (1/2/0) => +7 hammers in worker [-2 decay] (26)
3 turns (5/0/1) => +15 food (33), +6 hammers in workboat #2 (6)
7 turns (5/0/1, 1/2/0) => +70 hammers in worker [-3 decay] (90+3)
So that's 31 turns for the worker in this scheme, which is just about right for BW.
The worker should chop and mine the two hills and the chops going into a settler by switching between it and a second work boat, while still growing fast.
If we're going to build a second workboat before the settler, I don't believe we want to save our 1st chop for a later settler, rather than just putting it into the workboat to get it sooner, thus allowing us to work a better tile and grow faster. (We aren't growing very fast, with just the one fish.) When the chop goes into the workboat, we still get significant carryover to a settler.
Wheel next will allow the worker to be busy after he improved the hills (a tactical road network is never wrong maybe already to the site for the second city).
I think I would prefer Masonry before BW, but I'm not aggressive about it. I definitely think we should get Masonry after BW, though. I can't believe we would rather have our worker building roads than getting us +2 hpt from the quarry.