FWIW, I have an ancient 40" "ProScan" TV with a CCFL back light. The sticker on the back lists it at 200 watts..The little sucker is bright as hell, clocking in at 450 nits. .As a bedroom backup from 5' away, it's pretty intense.
If all else fails in your pursuit of FPS superiority, buy a bigger air conditioner*. (You will, of course, have to pull a separate line for it).
* This sentence is, as you may or may not know, a takeoff on the old mechanic's adage, "don't force anything, get a bigger hammer".