As mentioned, UTH were never meant to heat an entire enclosure, so I can see why you are struggling. They heat only the surface area immediately around them, but will not warm the surrounding (ambient) temperatures at all. Since you have adopted a BP, you'll need ambient temperatures ranging from 86-88F on the warmest end, down to 76F or so on the cooler end. If you are using a glass tank, you can best achieve that temperature gradient by using a bulb that emits heat, but no light - like a ceramic heat emitter (CHE) or deep heat projector (DHP). That way the warmth can be available 24/7 without leaving a bulb on at night. Lights of any color - even the so-called 'moonlight' bulbs supposedly for night use - are many, many times brighter than even bright moonlight and can be stressful.
Editing to add that regardless of what heating choices you use, any heating element has to be on a thermostat to regulate temps and prevent burns. Apologies if you already know this; it's just so important that I always mention it.
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