white's are not an "active" frog per se. sure, they will move around a bit, but they are mostly nocturnal. my white's (i have 5) don't move around until a few hours after lights out. as far as your tap water, are you in a large city? because a lot of smaller cities use well water for tap, so you wouldn't need to treat it. but if you are in a larger city, i would google the water quality to find out if they use chlorine or not.
a critter cage is too small for them, no matter the size. they also need climbing room. a couple of small, treated branches or a couple small pvc tubes cut to size would be sufficient. lobster roaches are fine for feeding as long as they are appropriate sized nymphs. the same goes for crickets. an as stated before, they need a month or more to get acclimated. they may need even more time since they are in a small enclosure and that creates a lot of stress in them. being a reptile keeper, i am sure you know how much stress affects them.![]()