My suggestion to you would be to break down the course and perfect your technique at all parts of the course.Think of the course in its 7 parts, Stair climb, hose hoist, stair descent, slammer, serpentine course, hose drag and dummy drag. Concentrate on your transition areas between the parts. This is where you can lose a lot of time. If you can shave 1 sec. off each transition, you will be 6 sec. faster(100sec-94sec).
What I found when I competed(years ago)was that technique means as much if not more to this competition than brute strength. As for strength, squats, deads, cleans and high pulls. Quickness, the Oly lifts. As for conditioning(this is only my opinion)stay away from aerobic conditioning. Nothing about this event is aerobic. The short event time with restricted air flow is all anaerobic. HIIT will work the best.
Also, work in your gear as much as possible, and on air whenever you can. I used to take my gear and scba into the gym and run 105 sec. sprints on the treadmill. I got some funny looks, but it helped.( my fastest time was 1min.39sec back in 1999)I was 6’2" 240# and had competed for 8 years going to Worlds 5 times. Feel free to pM if I can lend any other help.
Don