Looking for 3 month apartment or short term housing near Amazon SEA106 Bellevue budget 2600 late Aug to Nov

I’m not from the West Coast and just got a fall internship at Amazon SEA106 (10550 NE 10th Street, Bellevue, WA 98004) in Bellevue. I need a short-term studio or one-bedroom near downtown Bellevue with a 3-month lease starting in May. My budget is $2600 per month, including fees utilities and amenities. No roommates. Does anyone know of apartments within a 20-minute walk that offer short-term leases or other housing options like sublets that fit this budget? Any advice is appreciated.