You don't need both for sure only one heat source is needed. Both RHP and UTH are radiant heat sources so the work the same way, heating objects, just like the sun. Many RHP manufacturers suggest 12 inches from the face of the panel to the floor so a T8 is on the lowest installation possible.
RHPs are not the most efficient systems, they lose a lot of heat, to generate a hot spot on the floor of 90ºF mine has a surface of 130ºF my UTHs in the same thickness of PVCx to hold a 90ºF hot spot run 93ºF on the surface and then only are 11w compared to a 40w, so they use less power to do so. RHP excel at heating a perch and generating a horizontal and vertical gradient at the same time. A terrestrial gradient is great but remember you also have a vertical one so if the floor is 90º the top of the hide is hotter.
If you need to kick up ambient temps I believe there are more efficient, cheaper, and with less compromises methods of doing so. Heating objects to then heat the air seems a involved way of doing that just heating the air directly is easier. Fluorescent bulbs heat air , and the electronics associated with led strings also do. My suggestion is during your set up just use the lighting with no heat at all to see how much they heat the ambients (12hr white 12hr led night) you can add a RHP if needed but my experience the FL heats around 8-12º over the room my RHPs have only capped 3-4ºF over the room. (unless you stick the probe where the RHP will heat it directly... hardly ambient air temp then it is just a hot spot as it is directly influenced by the heater)
If this works it will save you money and power.
"Heating by radiant energy is observed every day, the warmth of the sunshine being the most commonly observed example. Radiant heating as a technology is more narrowly defined. It is the method of intentionally using the principles of radiant heat to transfer radiant energy from an emitting heat source to an object. Designs with radiant heating are seen as replacements for conventional convection heating as well as a way of supplying confined outdoor heating."
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