You're correct about the sway control being "intrinsic" - it's simple friction between the bars and the L-Brackets.
I suspect your hitch is like mine, and those bars don't look like mine either. You might try contacting Equal-I-Zer to see if they would sell you just a bar (or perhaps a set of two?)
A machine shop MIGHT be able to make one for you. You could take your remaining ber to them and see if they could fabricate a matching one.
Hi-Lo 1707T - Tire Minder TPMS on Tow Vehicle and Trailer, 300W Solar Battery Charger, Equal-i-zer WDH
2014 F150 Platinum 4x4 3.5L EcoBoost SCrew