I think that it will all depend on where you get stationed at. I got out of the Army in 2009 and never did go Drill Sergeant, but I do have a few buddies that were also Masons that were at Fort Knox, KY and Drill Sergeants. They had plenty of time to go to Lodge, but it all just depeneded on how active they wanted to be and what phase of the cycle they were in.
I can also tell you this, when I was up at Knox doing my Scout training, there seemed to be a very big Masonic population when it came to the cadre and Drill Sergeants. A buddy of mine and I (both Privates) were actually talking about our home lodges and some of the Instructor cadre from the grenade range heard us. They pulled us out from the rest of the class and took us to the wood line and "tested" us...lol Turns out that all of the Instructors there at the range that day were Masons. It was really funny. They took chalk and put some sort of marking on our ACH so that all the other Instructors that weren't with us in the woodline would know who we were..hahha
Sorry, I had to share that story as this just totally reminded me of it...lol That was one my proudest moments as a Mason. Anyway, also walking around the base you could tell there were a lot of Masons because of the regalia. I mean, you see it a lot in the Army anyhow, but up there it just seemed like it was all over the place for such a small base and area.
Good luck with everything and hope you have fun on the trail!!!