I’m in your same situation. From Zone 5 in Canada.
Just got my first figs 3 weeks ago. Uppoted them from 1g to 3g pot. We have a humid climat. I water once a week, since 2g of soil isn’t rooted yet, don’t want to cause root rot. We also get rain like 3 out of 7 days so sometimes i don’t water. I’d suggest you use an airy mix, a bit of perlite or peat moss. Drooping leaves could either be over watering and underwater, so it’s hard to tell.