The nearest drop boxes to Beacon Hill are located downtown, at the King County Administration Building (500 4th Ave), and in the International District at the accessible voting center at Union Station (401 S. Jackson St.). Both are open until 8 p.m. There are no drop boxes in Southeast Seattle.
If you have lost or damaged your ballot, you can vote the old-style way in a voting booth at the accessible voting center, until 8 p.m. tonight. Bring your identification. There have been lines there for this in the past — in 2010, the wait was more than 3 hours during the evening hours. Get there early if you can. If you are in line at 8, you will get to vote.