The competition will be in the Michigan Union's Wolverine Room, which is on the first floor. A floorplan of the first floor can be found here.
The closest place to park for this day will be at the Maynard Structure, which is located on Maynard St. between William and Liberty.
There are two hotels that you can reserve on campus, the Bell Tower Inn and the Campus Inn. These two hotels are generally expensive, however, you can find much better deals if you stay off-campus. To see rates and locations, click here.
If you are planning on flying, fly into DTW. There is a very reasonable shuttle service from DTW to Ann Arbor, check out rates and times at AirRide's website. Roundtrip is $22 for adults, and any accompanying children 17 and under ride for free. This service drops you off at the Central Campus Transit Center, which is within walking distance of the venue.