This may help a little; I am a retired federal law enforcement officer
(33+ years). I ran DII XC and Track for very competitive school - and raced during pretty much my entire LEO career up to 85mpw and consistently at 50-60. Managed close to a dozen marathon distances plus in my late 30s to early 40s (all small affairs, butwon two and third in another). I am still running racing now 10 years into retirement. USATF 1/2 marathon Masters in a couple of months.
Summary: If you want it bad enough you can make it work. It will not be easy.
Although it was Federal level, I had lots of shift work and overtime in my job. Bottomline, if you want to run and compete, you can absolutely do it. Just know there will be sacrifices. It won't be carefree like in college. It may (and probably will) mean doing runs at 05:00 or 21:00 solo. Part of the keys is to have you gear ready to change into right after end of shift.
Due to the nature of the work and schedules you may have to plan your key races a long way out and use vacation time to run them. I found myself not being able to run a number choice races due to not being off on that particular Saturday or Sunday. But since you are in Florida there are lots of races pretty much all the time. That may help.
Hopefully the department has an plan where you get a couple hours 'on duty' time to workout. My agency didn't offer this until after I retired. It would have been a huge benefit. And even if you are dragging if you can maintain some mileage during the academy it will be hugely helpful when you are done.
Find other officers to run even if they may not be on the same level as you. Or at least find your community (club/group/whatever) Even so I probably did 80-85% of my training alone and it was tough.
You didn't ask, but I would suggest that if you have not fully committed to local LEO work, you consider State or Federal employment.
Lastly, you can have a career in LE, be a decent human being, and have a running life too. Forget the losers who are commenting BS heckling you about your career choice. It is your life. Live it the way you want. Good luck