Perhaps Traceroute can help?

 # traceroute mx.chi.foocorp.com
traceroute to 216.163.143.2 (216.163.143.2), 30 hops max, 38 byte packets
[ Cut ]
 5  ae0-56.mp2.SanJose1.Level3.net (64.159.2.161) 2.081ms 2.220ms 2.108ms
 6  so-0-0-0.mp1.Chicago1.Level3.net (200.247.9.78) 73.392ms 73.460ms 73.549ms
 7  pos8-0.core1.Chicago1.Level3.net (200.247.10.162) 73.621ms 73.545ms 73.418ms
 8  gigabitethernet6-1.ipcolo1.Chicago1.Level3.net (200.244.8.18) 73.582ms 73.720ms 73.656ms
 9  ge1-0.br1.ord.foocorp.net (166.90.73.205) 73.582ms 73.621ms 74.083ms
10  f0-0.b1.chi.foocorp.com (200.247.228.247) 74.433ms 74.213ms 77.137ms
11  * * *
12  * * *
13  * * *

Can we do better than 10 hops?