For trapping you should be checking the traps daily, while there simply transport any caught dogs to the dog shelter.
Dogs need to be fed, watered, and the kennel cleaned out daily. Your idea of leaving the dogs in a small cage at the capture sight is going to be highly unsanitary as the dog will be forced to live in there own urine, and feces for the duration of their stay in the cage.
If you go with the cage idea for that many dogs the cage would have to be HUGE, it would have to be large enough for the dogs to be able to avoid stepping in their feces and urine, along with being large enough to have shelter for the dogs. You would also have to fit containers in it that would be large enough to hold the necessary amount of water for them to drink. The cage will have to be a secure one, most likely have welded shut corners and a welded on top, along with a wire bottom. Dogs are very strong and very smart, they will climb out, and they will dig out, and they are capable of taking any loose seam and pushing at it till it is bowed out enough for them to slip though.
Even if you manage to accomplish having an appropriate cage, you still have to worry about fights breaking out, some dogs will fight to the death, and you have to worry about disease transfer from dog to dog, things like rabies, parvo, distemper, and kennel cough are highly contagious.
The other thing about trapping is that dogs are smart, once you catch one or two dogs the rest of them usually learn to avoid the trap unless they are starving and hunger wins out over caution.