As long as you can keep the temp above 70F for the roaches you can keep them any where. they don't need any light and prefer it dark anyway.
you can keep the plastic bin in the closet.
I cut 1/2 holes out of the top and hot glued fine window screen over the holes.
They really thieve in 80+F but 70 and above is ok.
I was going in-between two names for my frog one if it turned out to female or male.
it will take at least a month or so until you will start to see nuptial pads on top of his thumbs if it is a male.