Usually look at sites for companies in your area that do race management and timing. There are a couple national ones but mostly for longer races, such as: half2run.com for half marathons and marathonguide.com for marathons. There are several sites that let you map a run. Google maps can do it, I thimk, and mapmyrun.com is perhaps best known.
Depending on where you live, there may also be local or regional websites with detailed race listings. For example, here in Southern California we have Raceplace, which covers the entire area from Santa Barbara to San Diego and everything in between, http://www.raceplace.com
@ 5K: Ontario Mills 5K, Ontario, CA, 25:17
New Balance Palm Springs 5K, Palm Springs, CA, 24:32
Angels Baseball Foundation 5K, Anaheim, CA, 24:24
@ 10K: LA Chinatown Firecracker 10K, Los Angeles, CA, 52:15
Great Race of Agoura - Old Agoura 10K, Agoura Hills, CA, 51:40