So I've been wondering whether to go Pottery first, and in what order to get Hunting, AH and BW. I had time just now to do some simming, and this tech path actually looks promising: Pottery->Mining->BW->Hunting->AH->(religion)
Go worker->granary in capital, work ivory until the rice farm is done, then work rice (+ivory) to complete the granary as the city reaches 16/16 food at size 2. Use the avoid growth trick to quickly reach size 4 and start a settler. After farming the rice, the worker cottages the tile nw of the rice (will be worked at size 3+), and then moves to the forest E of the city which is roaded and then chopped. (BW comes just in time for the chop). The chop completes the settler, which moves to the banana while we revolt to slavery. Settle on the bananas, and let that city work the rice for three turns while the capital 2-whips a worker and overflows to a settler. Regrow the capital to size 4 using the rice, while the second city whips its granary and works the cottage, giving the granary time to fill up. The capital whips the settler at size 4, the banana city 1-whips a worker at size 2. End result is 3 cities, 3 workers and 3 warriors by turn 30.
Autosaves are attached, although the description above captures the gist of it. I just left out some tile juggling which will come naturally as things play out.
Alright, I tried going Pottery->Hunting->Mining->BW->whatever (religion/writing). Doesn't really work that well. At t30 I was only at two cities (third settler had just completed in the capital) and two workers (one more to complete t31), although I wasn't terribly efficient toward the end so maybe that could be slightly improved upon. I can give a quick writeup and/or save stack if you want, but considering how far behind it was probably not worth it.
I also really quickly tried mining-BW first, but the micro was really really ugly for that. Might be because it's too late here and I was just very sloppy, but it would up being that either we were putting a lot of hammers into warriors, or had an excess of workers and not enough settlers. I don't know, maybe you should give it a try just to check if you can get it to work better than I did, but I do rather suspect that having the granary to build early is a better option (and it seems like you timed that first chop pretty ideally into that settler with the current path).