Dunno how tall / wide the towing vehicle is, but you might want to keep the trailer smaller than the TV's tail, so it rides in the shadow.
The nose cone will help, closing the gap with the towing vehicle will help as well.
Rounding off the edges will help as well - just don't add anything round (circular) at the rear as it'll induce instability.
Angling the top down helps, angling in the other sides will give better aero too.
(just don't make it too steep)
Plenty of threads on aero trailers to check out ;-)
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