Summer sublet 06/01 to 07/31 for a male Stanford affiliate

Hello

I am a postdoc joining Stanford this summer. Looking for a private bedroom from 06/1 to 07/31
Preferably in Palo Alto but can be around if public transportation is accessible.
Also I am not pet friendly so looking for housing with no pets.
My budget is $1500 for a bedroom with private bathroom. Also open to shared bathroom with lower rent

Thanks