LEDs produce negligible heat, compared to other lighting solutions.( I suppose a jar full of fireflies would produce less heat, but that is hard to mount on your rig.)
That being said, why not do this:
Test it before you mount it? See how hot it gets?
Also, is the tube 100% closed? If it has air vents on each side, there shouldn't be a problem.
No vents? Drill a few small holes in the tube before mounting.
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Jayco Grayhawk 31FS 2010