Where do you get the idea that Burke would have favored prison for drug abusers? He was a conservative. Drug use was not illegal in his day. I think he would have viewed prisons themselves as monstrous. The modern "penitance-iary" was not invented until the 1830s, you know.
My point was how much supposedly-conservative thought has moved in the last two hundred years. The traditions of our ancestors are largely dead, destroyed by the rise of the state. If "conservatives" think they are conserving anything, they are wrong.