4-6 month lease/sublet needed Palo Alto/Menlo Park from Oct/Nov

Hi, I am a Stanford alum looking for a studio or 1 bedroom (under $2500/month) in Palo Alto and Menlo Park region. I am looking for sublet, or month-to-month lease, or a short term lease (about 4~6 months). Ideal start time is November ending any time between March to June 2022. Furnished or unfurnished both okay. If you have a suitable lead, please let me know. Thanks!