Looking at the tone mapped version, I see it is tending to bleed off, visually, at both top and bottom. So I set my gradient tool to a linear, foreground-to-transparent gradient, and I set foreground and background in my color picker to a dark blue and a dark brown.
I create a new, empty layer, and set the layer mode to "multiply", and check the option to "fill with multiply-neutral color (white)".
Now, with blue in the foreground on the color picker, I use the gradient tool to pull a blue gradient down from the top, then use "edit>fade gradient" to mute it until it looks right. Then I switch brown to the foreground, pull a brown gradient up from the bottom, and fade that one as well.
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