I am certified in animal behavior and training. Often you must set up "training" an animal with small, very calm, sessions where you pair an action with some sort of reward.
Reward for these birds is often "getting away from you" unfortunately. However, if you go slow, make your movements very slow and always treat them in the same manner, they become habituated to your movements. Sometimes just wearing a different color or style of clothing can "make you different...scary".
So if the chicks are still too little to receive meal worms, the best thing you can do is to be near or close to them for lengthy, quiet periods, paired with short, calm handling.
Make mental notes about what scares them and when they are most calm. Strive to do those things that make them appear to be calm.
Sometimes I just sit with my quail (coturnix) and say nothing, look away if they seem nervous. If some come up to look at me (as adults) they are offered a treat in a meal worm.
I am not sure about bobwhites, but this is what I do with coturnix. The buttons I would be still around and not stare at. They eventually settle, but can be "set off" by nearly any change.
I hope I did not confuse you too much.
Remember this too....I always tell my clients with animal training issues...."perfect practice makes perfect"....
NOT just practice. Most people go blowing in to the animal, or repeat a command or set the animal up for failure by not setting up a PERFECT PRACTICE session. Think about what you want to do with the animal. In this case it is be calm, in order to receive calm. Start small and add on minutes each time. After you have seen the quail be calm in exchange for your calm, you can move on to putting your hand on the cage door. Leave it there untill no quail is freaking out still. When they settle, you bring your hand away (the reward). Next time add on minutes that your hand is that near. Next time add your hand safely into the cage...agian don't remove it if they are freaking out. Wait for them to settle, wait a bit more...then slowly remove hand.
Keep adding on calm slow gestures. Never reinforce the quail by "leaving because they are freaking out" . Remain, be calm, be slow. Then when they are older/adults, the treats can accompany this "companionship" exercise.
Removing your self when the quail are freaking out, will teach them that they possibly should continue this behavior...it works. Let them learn to trust.
I love it when they start just walking right over my hand like I am part of the cage. That is when I know I am being accepted as part of the normal cage environment.
Tonya