If you're thinking of making opium honey as a business, it would be a very BAD idea. Assuming the bees can actually collect nectar from poppies, posession of any part of the plant (except the seed) is illegal and would carry the same fine as a schedule II narcotic. If the honey contains any alkaloids, it stands to reason that it would carry the same penalty.
Any attempt to grow the number of plants that would be required to obtain a large enough crop to be profitable is sure to be discovered by the authorities. According to the link referenced earlier in this thread, you would need at least an acre of plants to produce 7-10 quarts of honey. If you actually succeed in producing the honey, you still need to be able to sell it. Opium is no longer popular. It was replaced by heroin because it's lighter and more concentrated, making it easier to smuggle or store. Making honey is working in the opposite direction - it would be heavier and bulkier.
I admit that the thought of narcotic honey is amusing, but an attempt to produce it is asking for trouble in a very big way. For a first time offender, posession of opiates carries a 5-year prison term and up to $1,000,000 fine. Growing the plants carries a 20-year prison term. NOT WORTH IT!