Unless you are in control of the PT program, there's not a lot you can do. At best I would suggest talking to command about spreading the responsibility for leading PT around (to give up in coming NCOs and high speed soldiers the experience, yeah that sounds good). Spend some time in the gym on your own and get a good low level cardio in on the weekends. Lead by example really.
Try to find the paleo/primal crowd. They're out there, and can be great support with all of the bad advice and CW you are going to encounter. Army is hard into CW and destroys the body. Just don't stress out too much, it's kind of unavoidable, and always prioritize doing good things for your body, treat injuries quickly, don't let some idiot yelling make you feel the need to over exert one days you may need to take it easy, and try to get good sleep. And stretch carefully, we'll, and often, and make sure you hit stability workouts especially your back. Army always forgets about the back and then wonders why we have so many injured slouching soldiers.
Best of luck to you, and welcome to the family. Both of them. I'm army, and definitely learning too, so feel free to keep in touch. Always good to have someone you can rant to that understands.
yeah, but "hey i'm Khan the sword king" is not normal.... the universe is being fickle... this is a thing... ignore me for a few weeks.