Hactice is the sweetest and most helpful airbnb host I have interacted with. Her place was cozy and clean with a great view and nice location. Easy to get to sultanamet on public transportation but a little walking required to get back as far as I could tell. I never asked her about it however and I'm sure she'd be of help. There was a Istanbul kart (public transportation card) there which you could charge up and use which would be super useful if I hadn't of already bought one.
Hactice recommended a local Hamam designed by Sinan down the road called Büyük Hamam. 35 TL per person gender segregated with women scrubbing ladies for the ladies and men for men. Great value! Internet was slow but just means more time to chat with you travel buddies.
Wonderful time!