Here is what was in my log file. As you might be able to see from this, I am able to connect to a game sometimes, but very rarely.
[2009-10-23 19:32:43][0,0] : Log session started
[2009-10-23 19:32:43][0,0] : SetSteamID( [A:1:0:0] )
[2009-10-23 19:32:43][1,2] : Connect() starting connection (eNetQOSLevelLow, 68.142.64.164:27017, UDP)
[2009-10-23 19:32:48][1,2] : ConnectFailed('Connection Failed') (68.142.64.164:27017, UDP)
[2009-10-23 19:32:48][0,0] : StartAutoReconnect() will start in 4 seconds
[2009-10-23 19:32:52][1,5] : Connect() starting connection (eNetQOSLevelMedium, 68.142.64.164:27017, TCP)
[2009-10-23 19:32:52][1,5] : ConnectFailed('No Connection') (68.142.64.164:27017, TCP)
[2009-10-23 19:32:52][0,0] : StartAutoReconnect() will start in 3 seconds
[2009-10-23 19:32:55][1,7] : Connect() starting connection (eNetQOSLevelMedium, 68.142.64.164:27017, TCP)
[2009-10-23 19:32:55][1,7] : ConnectFailed('No Connection') (68.142.64.164:27017, TCP)
[2009-10-23 19:32:55][0,0] : StartAutoReconnect() will start in 3 seconds
[2009-10-23 19:32:58][1,9] : Connect() starting connection (eNetQOSLevelMedium, 68.142.64.164:27017, TCP)
[2009-10-23 19:32:58][1,9] : ConnectFailed('No Connection') (68.142.64.164:27017, TCP)
[2009-10-23 19:32:58][0,0] : StartAutoReconnect() will start in 8 seconds
[2009-10-23 19:33:00][0,0] : LogOff()
[2009-10-23 19:33:00][0,0] : Log session ended
[2009-10-23 19:33:07][0,0] : Log session started
[2009-10-23 19:33:07][0,0] : SetSteamID( [A:1:0:0] )
[2009-10-23 19:33:07][1,0] : Connect() starting connection (eNetQOSLevelLow, 208.111.171.82:27017, UDP)
[2009-10-23 19:33:19][1,0] : LogOff()
[2009-10-23 19:33:19][1,0] : Log session ended
[2009-10-23 19:35:42][0,0] : Log session started
[2009-10-23 19:35:42][0,0] : SetSteamID( [A:1:0:0] )
[2009-10-23 19:35:42][1,2] : Connect() starting connection (eNetQOSLevelLow, 72.165.61.187:27017, UDP)
[2009-10-23 19:35:42][1,2] : ConnectionCompleted() (208.111.171.83:27017, UDP)
[2009-10-23 19:35:42][1,2] : RecvMsgClientLogOnResponse() : 'OK'
[2009-10-23 19:36:12][3,2] : LogOff()
[2009-10-23 19:36:12][2,2] : AsyncDisconnect()
[2009-10-23 19:36:12][2,0] : Log session ended
[2009-10-24 20:21:03][0,0] : Log session started
[2009-10-24 20:21:03][0,0] : SetSteamID( [A:1:0:0] )
[2009-10-24 20:21:03][1,2] : Connect() starting connection (eNetQOSLevelLow, 69.28.145.171:27017, UDP)
[2009-10-24 20:21:04][1,2] : ConnectionCompleted() (208.111.171.82:27017, UDP)
[2009-10-24 20:21:04][1,2] : RecvMsgClientLogOnResponse() : 'OK'
[2009-10-24 20:21:33][3,2] : LogOff()
[2009-10-24 20:21:33][2,2] : AsyncDisconnect()
[2009-10-24 20:21:33][2,0] : Log session ended
[2009-10-24 20:26:14][0,0] : Log session started
[2009-10-24 20:26:14][0,0] : SetSteamID( [A:1:0:0] )
[2009-10-24 20:26:14][1,2] : Connect() starting connection (eNetQOSLevelLow, 208.111.171.83:27017, UDP)
[2009-10-24 20:26:15][1,2] : ConnectionCompleted() (208.111.158.53:27017, UDP)
[2009-10-24 20:26:15][1,2] : RecvMsgClientLogOnResponse() : 'OK'
[2009-10-24 20:27:53][3,2] : LogOff()
[2009-10-24 20:27:53][2,2] : AsyncDisconnect()
[2009-10-24 20:27:53][2,0] : Log session ended
[2009-10-24 23:59:06][0,0] : Log session started
[2009-10-24 23:59:06][0,0] : SetSteamID( [A:1:0:0] )
[2009-10-24 23:59:06][1,2] : Connect() starting connection (eNetQOSLevelLow, 208.111.158.52:27017, UDP)
[2009-10-24 23:59:06][1,2] : ConnectionCompleted() (68.142.91.36:27017, UDP)
[2009-10-24 23:59:07][1,2] : RecvMsgClientLogOnResponse() : 'OK'
[2009-10-25 00:02:51][3,2] : LogOff()
[2009-10-25 00:02:51][2,2] : AsyncDisconnect()
[2009-10-25 00:02:51][2,0] : Log session ended
[2009-10-27 12:18:36][0,0] : Log session started
[2009-10-27 12:18:36][0,0] : SetSteamID( [A:1:0:0] )
[2009-10-27 12:18:36][1,2] : Connect() starting connection (eNetQOSLevelLow, 68.142.91.36:27017, UDP)
[2009-10-27 12:18:41][1,2] : ConnectFailed('Connection Failed') (68.142.91.36:27017, UDP)
[2009-10-27 12:18:41][0,0] : StartAutoReconnect() will start in 3 seconds
[2009-10-27 12:18:44][1,6] : Connect() starting connection (eNetQOSLevelMedium, 68.142.91.36:27017, UDP)
[2009-10-27 12:18:45][1,6] : ConnectionCompleted() (208.111.158.52:27017, UDP)
[2009-10-27 12:18:45][1,6] : RecvMsgClientLogOnResponse() : 'OK'
[2009-10-27 12:38:40][3,6] : LogOff()
[2009-10-27 12:38:40][2,6] : AsyncDisconnect()
[2009-10-27 12:38:40][2,0] : Log session ended
[2009-11-24 17:19:24][0,0] : Log session started
[2009-11-24 17:19:24][0,0] : SetSteamID( [A:1:0:0] )
[2009-11-24 17:19:24][1,2] : Connect() starting connection (eNetQOSLevelLow, 208.111.133.84:27017, UDP)
[2009-11-24 17:19:25][1,2] : ConnectionCompleted() (208.111.171.83:27017, UDP)
[2009-11-24 17:19:25][1,2] : RecvMsgClientLogOnResponse() : 'OK'
[2009-11-24 18:02:39][3,2] : LogOff()
[2009-11-24 18:02:39][2,2] : AsyncDisconnect()
[2009-11-24 18:02:39][2,0] : Log session ended