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A steering stabilizer(or two) will help. Did you retain the stabilizer bars for the front and rear and install longer and beefier end links and bushings? If you removed these, you'll notice some odd steering characteristics as well.
I had retained the front stabilizer bars but did not go with longer and beefier end links and bushings. I didn't think it mattered since the front sway bar is not under tension at the u bushings where it mounts to the frame. The rear axle does not have a stab bar.
You did a coil lift, did you also install longer, beefier shocks? The stabilizer bar with beefier end links will likely help as well. It's not under tension until you start hitting bumps or are turning the truck. It's designed to work while in motion only.