I'll throw this advice in the ring.
http://www.bodyrecomposition.com/training/weight-training-for-fat-loss-part-1.html

"By metabolic type weight training, I’m referring again to the higher rep/short rest types of training that are often suggested for fat loss on a diet. Loading might be something like 4 sets of 12-15 repetitions (or more) with 30-60 seconds rest or less between sets.

Tension type weight training refers to more traditional heavy weight training. Lower repetitions with longer rest intervals: this might be sets of 5-8 repetitions with 1.5-3 minutes rest between sets or what have you. Just your stock standard traditional type of heavy weight work.
...
Metabolic type weight training tends to generate a higher calorie burn than traditional low rep training, the glycogen depletion that occurs increases whole body fat oxidation, and the hormonal response is actually quite similar to interval training.
Of course, many find that their top end strength falls somewhat while dieting; as well, when people get very lean, joints often get a little bit wonky under heavy loads. The lighter loads used in metabolic type work can be beneficial in that regards as well.
So those are the pros for this type of training: increased calorie burn, a nice hormonal response, easier on the joints, depleting muscle glycogen enhances fat oxidation."

"The basic idea of increasing either training frequency or volume in the weight room while dieting is completely *kitten*-backwards on a tremendous number of levels. If there is a single time when overall recovery is going to be reduced (unless you are using steroids), it’s when calories have been reduced. Trying to train more frequently in the weight room on a diet makes no sense.
I’ll come back to this more in Part 2 on Friday."

Make sure you read link for Part 2.
http://www.bodyrecomposition.com/training/weight-training-for-fat-loss-part-2.html

What I did was have 2 split days for upper / lower normal heavy routine I'd worked up to (so 1 x weekly), and after that workout did the other half of body circuit style.

Then 2 other days did just the circuit style whole body. 4 x 20 (though by last set was usually 17 or 18 because still heavy enough).
I did use dumbbells rather than machines though, and it ended up about 4 different paired weights let me hit about 10 different lifts, so I used back room at gym and just hogged the weights on the rack there in pile around me, rarely used anyway.

Then 1 cardio day. So 5 days weekly.

At end of 7 weeks, did not lose any strength at high end.

I'd stick with the modified ICF until such a time it stops working.