Devices are provided having a polymer coating incorporating compounds inhibiting inflammation and infection, along with subsequent tissue growth onto and around the device. Preferred embodiments include catheters, tubes, and implants that abut tissue following implantation into the body, especially for use in the naso-oto-pharyngeal areas of the body, where localized chronic infection/inflammation of the tissues surrounding the implant may be decreased by sustained release of antibiotics, antifungals, antivirals, anti-inflammatories, and other compounds, such as anticoagulants and anesthetics. Preferred polymeric coatings are thin, well adhered to the underlying device, and formed of a biocompatible, non-bioerodible polymer such as polyurethane or ethylene vinyl acetate. The drug is incorporated either by solvent casting or by absorption into the solidified polymer. The drug incorporated polymer can also be used to form devices, or portions of devices, for implantation.