You may have difficulty with oothecae hatching properly using the setup you have. There are a lot of contributing factors, but one complaint that pops up on lats is ooths desiccating before having an opportunity to hatch. Once you have them hatching, you'll have roaches out your ears.

See what the ooths do for you - you may want to separate out oothecae into their own "incubator" bin kept with coir or peat. I always had the best success with this species keeping them on some kind of substrate. You don't want it moist, but it shouldn't be bone dry. Even covering some of the screen at the top and adding a small container/glass of water to the bin may help.

Other than that... I would agree that lats breed the fastest. And all roaches have roughly the same general nutritional qualities but each will have its own set of unique micronutrients makeup. Be sure to offer as much variety to your pet as possible to encourage a healthy and balanced diet. Also, Turkistan roaches and lobster roaches seem to have far better meat:shell ratios than say, Malagasy hissers or Blaberus nymphs.