Hotel
The ceremony and reception will be on the rooftop of this hotel. Can't find a place closer than that! Hotel guests also have complimentary access to the Olympic Athletic Club. Recommend booking quickly as it tends to fill up. They currently have a discount for a 3 plus night stay that includes free parking.
Hotel
In case Hotel Ballard books up you might also be able to find a room at its sister hotel the Ballard Inn. It also has a more affordable price point while still being in a great location.
House Or Rental
Feel to check out this list on Airbnb of some that look great to us! Note that some are only available if you're staying 3 nights minimum.