I refer you to my links in post #4.
Going back many years, part of the weight reduction for the F-35B involved removing the piping for the wing stations, so no wing tanks can be carried. I believe a centreline tank can be carried - but only at the expense of both stealth and gun carriage. I have not seen any mention of lightweight/cost tanks for routine carriage and drop during operations - and would question the number that the carrier could carry if they did exist.