I have never ridden the DK, so take this with a grain of salt. In general it seems to me a 32/11 high gear would be pretty slow and have you spinning out a lot, unless the whole race is a climb. I am sure someone who has more knowledge of the course will chime in though.
*I'm assuming you're on 700 wheels and not something smaller* Just put a wider cassette on back. An 11-36 10 speed cassette is easy to find. You may need a new chain too if the current one is too short.....or worn.
A 36/36 low gear will get you up nearly anything even when tired. A 36/11 high gear will still get you up to ~24mph at 90 rpm. After the start, you probably won't be hitting 24mph very often unless you're going downhill....where you're better of tucking and coasting.
If you're set on buying a new ring up front and cassette (along with new chain), an 11-40 Sunrace cassette will fit your SRAM rear derailleur and a 40 or 42 up front will give you more top end while still giving you plenty of low end for climbing. That's what I would have run if I got in this year.
Play around with the Sheldon Brown Gear Calculator. http://www.sheldonbrown.com/gear-calc.html If you're moderately fit, 28/29 gear inches should be about as low as needed for that course.
