This in no way resembles my experience. Apparently, bees were wiped out by the virus in my world.You get honey from stumps. Stumps are a plenty out in nature. You should get 1 honey in at least 10 stumps chopped down.
In any case I'd chose the helmet light mod, as that is a long time reward while the antidote is a one time use, and disease goes away if you die anyway and dying isn't that big of a deal as long as you're not on a quest and have a bedroll placed nearby.