I second the Therea domino and question marks. I've got a mess of adult domino roaches at the moment and they are out day and night. I opened the bin today and a few males were going nuts trying to climb out.
It does help to make roaches more day-visible by minimizing the places that various species have to hide in the cage. I have some branches in my skunk roach cage, for example and no egg crates. The vertical options may help some roaches molt, though I've actually seen very large skunk roach nymphs molt right off the plastic tank wall. I've got a photo to prove it, but it's buried in a folder somewhere too deep. It's pretty impressive that any roach could do this! Since this species doesn't burrow at any stage of the life cycle (discounting oothecae), they sort of count as diurnal. In similar set-ups, other non-burrowing species can be defined similarly. These include ornate velvet roaches and zebras.