Without commenting on the obvious fraud aspects of this proposition, if you have paid with a corp TA, odds are they would be under direction to send it back there, which is the case for me. The only way to find out would be to try at an airport ticket office. However, if your ticket cost $11k and was full J, odds are that:
- C is sold out
- I is almost certainly gone

As to the RTW suggestion, that's great, but often times business trips don't allow time for all the req'd stopovers.