Whites don't really have specific lighting requirements but day temps should be around 75 - 80 degrees and night temps should drop to between 68 - 70 degrees.
Humidity should be 60 to 70 percent but I have heard of people keep them at 80 percent with no problems.
I myself am having a low humidity issues (45 - 50 day and 50 - 55 at night) since I added a screen to my enclosure to drop temps and now noticing my under tank heater is not doing the trick. My humidity rises at night and drops in the day but the Whites are still staying active with the humidity changes.
Probably just going to reduce the size of the screen to correct this.