I used to go through this (never an LEO, but Army) and thought I had a lot of special needs that regular programs couldn't address - and this was after a relatively long athletic background so I should have had some insights! I actually ended up doing a lot better by picking any basic strength program and following these rules (rather than trying to make up my own training covering everything):
Don't get hurt. Seems obvious, but you can't afford injuries - you gotta work.
Don't get insanely sore. Again, you gotta work. For me this meant more frequent training and slowly increasing volume.
Focus on gaining strength. Again, obvious. However! You have to follow the first rules. Being strong is good, but you have to be able to use your strength frequently.
Keep conditioning in. It's super easy to maintain some basic condition once you're there, but it's a real liability to lose it. Don't be a fat mess because you want to add a few pounds to the bar.
So, again, the same basic rules of strength and conditioning that apply to everyone. You just have to determine what strong and "in shape" are for you (I'd argue 2x BW deadlift, the ability to run repeated 50-100m sprints with your basic gear and do sets of 10+ pullups with your gear, but you know your job better than me), and then focus on that without using up your body (for instance, I'd get all my kit in and run miles. I was able to complete that task, but was it worth the trade-off for my knees and lower back - especially as I was also jumping and other traumatic tasks? Be smart with risk/reward).
To more specifically answer your question, CT recently published and article on this site about "Workman Strength". Something like that may be a good starting point. You mentioned your pressed on time, he also had a "20 Minute Muscle Builder" or some similar title that may fit your bill.