I know the more you alter something, the less it is Starting Strength, but I think I may have thought of a way to add a 3rd day at low stress...
Pushups (weighted or lots of unweighted, not sure yet)
Every day, weight lessens but muscles at work stay relatively the same. Get a good mix of oly and powerlifting, with pushups for the academy (need to keep bench in since thats tested in the academy as well). And like I said, everyday weight lessens so hopefully wont negatively affect my running, while still giving me a good workout.
I know its no longer SS at this point, but how does that look as a general program?