There's always Rhode Island. There is an island by that name, but the state itself is very much not (and it's usually called Aquidneck now, the island, I mean).

There's always Rhode Island. There is an island by that name, but the state itself is very much not (and it's usually called Aquidneck now, the island, I mean). Pine Island in New York State is both not an island, nor named after one, it's just slightly elevated. Point is there's precedent.