I have to wonder if they don't make the same concessions for CW as they do for one of the big-4 networks. If the adapter is not set to be available to your market, it is very low chances anyone at DirecTV that answers the phone would be able to order one. Perhaps someone back-office could do it, but it could take an act of God to reach someone that knows what it is and has the ability.
As to the language on the promise site, could be they are not pursuing negotiations, or they may use less aggressive language for a non-big 4 station. Is there any sister stations that are out, or is there a provider in your market that is only CW. What about the same station owner in different markets, it is pretty rare to have a station all on their own.
Edit - looks like WINK is the sister station and carries CBS. If they were on the same carriage agreement it could be a sign DirecTV walked away from CW in that market. If they were on different carriage agreements, they may negotiate both when the CBS agreement ends, or perhaps they extended one while negotiating, etc. Could be almost anything. Could email Sun Broadcasting and ask their response, smaller companies may actually give some insight as to what happened instead of a generic see the website response.