Stopping the service on some of the servers seems to have no effect when the system is trying to make a web service call. Here is the error in the ULS:
The BDC Service application Business Data Connectivity Service is not accessible. The full exception text is: Could not connect to http://****:32843/e29cc12c08754fe19f22e8260ceb23c3/BdcService.svc/http. TCP error code 10061: No connection could be made because the target machine actively refused it 10.10.206.37:32843.
This particular server is only for external access, so the port can not be opened. I would think that by just stopping the BCS service on it, then system would not try to call it. Any ideas?