We cannot recommend that honey be collected and consumed from a bee hive where Drione Dust was used since this product is not labeled for use on any kind of edible plants, animals, or animal products.
Drione Dust is not labeled for carpet beetles. For indoor carpet beetle control you may want to consider a product such as Nyguard Plus. This product contains an insecticide to kill the roaming adults and an insect growth regulator to stop the harder to kill immature beetles from reaching a reproductive state which in turn will break the cycle of infestation. As an added bonus this product also contains a deodorizer for carpet applications. Please take a few minutes to read our How to Control Carpet Beetles article for an in depth explanation of how to control this pest.
Drione Dust will work great for this, along with a B&G 1150 Bulb Duster. At night after dusk when the bee activity is minimal, dust the area where they are flying in, coating the entry point. When the bees fly in and out in the morning they will get the dust on their bodies and bring it back into the nest. The bees will pass the dust around and usually within 24 - 48 hours (depending on colony size) the colony should be dead.