I guess I'm not understanding the question. If I'm reading it correctly, you want to be able to run two different project suites on two different machines.
So... architecturally, in my mind, I don't see the need for setting up a Network suite in TestComplete. Basically, you create two different PJS files (Project Suites), one for each environment with the necessary projects associated. Then, using some kind of scheduling tool (Windows Schedular, Jenkins, etc), fire off the project suites on each machine. You should be able to do this without needing to wait for one to finish before you kick off the other.
