The result of a couple efforts and a few hours improvising and working things out.

I had to restart Liberty from a failed Engineer gambit, and Free Gateway went terribly wrong, but the run is complete.

Times as seen on mission end screen:

Lone Guardian 03:33

Eagle Dawn 03:52

Hail to the Chief 01:50

Last Chance 01:53

Dark Night 03:12

Liberty 14:52

Deep Sea 01:40

Free Gateway 07:14

Sun Temple 06:09

Mirage 05:45

Fallout 07:12

Chrono Storm 09:21