Whiskey_Fox,
First of all, thank you for your service. Secondly, thank you for being interested in the TSC.
I've done my share of deployments but have not yet done a TSC. So I can chime in on training while deployed, but not specifically training for a TSC.
On one deployment, I did the 'Right of Passage' program. I absolutely LOVED it. It was very easy to combine 3 KB sessions each week w/ whatever operations I was doing. I've written about it on the blog, but the results were amazing. I was skeptical at the time, so I tested a bunch of different things before deploying (bench, pull-ups, dead lift, vertical leap, 3 mile timed run as examples). Somehow, after those months of ONLY doing KB Clean & Press ladders and KB swings, all of my 'measurables' either improved or at least maintained. It was really cool. There were, however, a couple of times on that deployment where I took the 'testing' a little too far. Once in awhile, I would test the 10min snatch test @ 24kg. One time in particular, I went really hard. Thankfully, we did not 'work' that day / evening. When we worked the next 'day or evening' (trying not to be specific), I was still pretty sore and tired. The lesson: don't go to all out max on deployment unless you know there's a rest after, especially on deployment.
If I was still deploying, I would probably just do 'KB Simple and Sinister.' I'm certain I'd make good gains AND not interfere w/ my 'duty, job or sport' as Pavel so eloquently says. Of course, that's probably not the best prep for a TSC.
Perhaps you could look at some of the programming of those who do really well on the TSC and 'adapt' that programming so that you are still able to operate. There have been some good articles on the blog about TSC prep and I've seen some discussions on FB as well.
Thank you. Good luck and stay SAFE.