Not one of my best photos from the lunch at the bridge park, but a good one to try the 3 common ways to adjust the color on a 720nm infrared.
I have tended to just prefer to leave the color as-is when the white balance is properly referenced to the green foliage. I will use the WB eyedropper tool in post on the leaves if needed. Contrast and exposure are the main things to move. This leaves the sky (and reflection in water) looking a copper color from what red is present in the light.
Many will object to the sky color and swap the red and blue channels in post. This will put a cyan color into the sky and sky reflections. I think this might be more pleasant in the IR conversions that use a shorter wavelength cutoff that extends further into the visible spectrum. 720nm is just barely into the deep red (and auto taillights show very red). What it really does here is make an equally alien sky look, at least in my opinion. If this gives you a brain-itch like you have seen this color palate elsewhere, go watch the opening scene of Star Trek: Into Darkness. The alien planet is almost exactly this look.
And my preference when there is no sky is to just desaturate to a B/W like film infrared. I tend to exaggerate the contrast when I do this, but who doesn't like to do that in B/W?