CT has written a bunch of times that he doesn't like answering questions about old programs. I lost 35lbs using the War-room program, so I thought I might jump in.
Most of the folks here will likely tell you fat loss is not achieved with your workouts - its a nutrition issue. They will say - Train for strength to preserve muscle while you put the body into a calorie deficit, ideally with low enough carbs to improve your insulin sensitivity. Pick any of the strength-focused program here, and cut all the carbs out of your diet, except for your peri-workout nutrition. Wash, rinse, repeat.
However, I have found that in addition to strength preservation with low-rep heavy lifting, I got a lot of benefit of High-intensity Interval training. Complexes with multiple Olympic variations, especially. The war-room schedule is a nice way to structure a week of training for two strength sessions, two HIIT sessions, and some Steady-state cardio. I think it might work for you, based on what you wrote about your training experience.
I actually got leaner faster doing the Super Hero program, but honestly, if you don't have a year or more of serious training with heavy barbell exercises, you are going to get really frustrated trying to put things together. It took me a hell of a time to make it work, and I had 15 years of time under the bar, 5+ of them under great coaching.