I just moved to SF in December and was thinking the same thing.
I saw a ton of posts of CL in the 2500-2700 range which is what I was aiming for and thought It was gonna be easy.
But after moving and actually viewing the apartments it was not what I was expecting. If you have a car and want to have a W/D it’s gonna be 3k minimum.
If you can ditch the car and not need in unit W/D you can find something in that range... this is excluding the tenderloin.