Seeking 1 bedroom / studio for $2300 / under, open to in-law units

Hello! I'm a 3rd year PhD student looking for a 1 bedroom or studio to share with my partner in a safe neighborhood. Looking for a place $2300 or under with a full kitchen, as I like to cook. :)

Open to in-law units and multi-plexes with private entrance.

Doesn't need to be furnished. Around ~500 sqft is ideal, but it's not a dealbreaker.

Looking to stay within Palo Alto, but can consider nearby towns too. I'm organized, keep to myself, responsible, and try to love sustainably.

I've been searching for 1.5 months across Zillow, Craigslist, FB marketplace, and here. Everything around here is so expensive or gets snatched up before you have the opportunity to get a tour. Please help!!!