I had dumeril's monitors for a while, but stopped keeping them due to space constraints...and the cage(s) were destroyed by an old roommate's dogs. Couldn't afford to fix/get new cages, so I sold them. The information on healthy feeding for carnivorous reptiles was extremely useful though. There's a lot of crossover between healthy feeding of herbivores and carnivores and how to healthfully offer a balance for omnivorous reptiles like blue tongues.
The pic at the bottom is of my beloved Wallace, the one that got me into monitors. Super awesome lizard, adored the crap out of him. Not all monitors have an interactive or outgoing personality; this one did. Super smart, used to get out all the time and scare my roommate. I'd come home and my dog would be hanging out on the stairs with this 4' monitor, and my roommate would be hiding in her bedroom with her dogs.
I don't like feeding chicks; the size chicken chick small enough for a bluey to eat is too young (1 or 2 days) and doesn't really have the nutrients yet that an older chick would. I'm not sure on quail chicks, I'm guessing they'd stay an edible size for a blue tongue longer than chicken chicks.
You don't need to feed rodents often because they are relatively high in fat. In addition, wild skinks rarely have access to rodents - they eat primarily insects because that's what they can catch. They'll readily eat carrion, but how often would a bluey reasonably come across carrion? Baby mice (4 weeks and younger) are relatively high in fat because they're still nursing, which is why you don't want to feed them often. If you can get older rodents and want to feed them regularly, go for it. I fed my gravid female skinky adult mice once a week (leftovers from my baby ball pythons) and it seemed to do her and the babies nothing but good.
If you're able to get access to scientific journals/research articles, you can search for field studies on blue tongue skink diets. I was able to find one a little while ago that found that wild centralian and eastern blueys diets are primarily insects, occasionally carrion, and a significant portion of fruit and seeds. Leafy greens were found in the stomach incidentally - either in the stomach of prey items or coincidentally with larger prey items, such as blades of grass with a large beetle. They found a handful of skinks with carrion in the stomach, but most had insects. Beetles in particular, actually, and insect larvae. Neat stuff!