Unloaded, I say run what ever octane you think your truck runs better on and you are comfortable paying for. It's your money do with as you please even if there might not be that much of a benefit. Towing 5k or more especially on a hot day, I say run 89 at a minimum.
I know my old F150 Ecoboost changed timing when 91 octane was added and upped the power to 15 more hp and another 10 lb-ft per Ford. Not sure how much power it adds to the 6.4L(if any), but at the very least it will deter it from knocking or pre-igniting when pushed hard which will keep the ECM from pulling timing and lowering power output.