No different than any other sportsman's paradise in Alaska, Kodiak is the hub for several private providers of backcountry transportation. Flightseeing, transportation to fishing holes and hunting venues, and just a leisurely tour of the island from the air are available from a number of air charters, from Andrews Airways to the Highline Flying Service, from Sea Hawk Air to Harvey's to Kodiak Air Service. All air and sea operators are listed in the Kodiak Island Visitor Guide, with many providers available online.
This is a shot of the Kodiak Island Airport. (ADQ) You don't want to overshoot the runway as there is a 2600 Foot mountain at the end of the runway!!