I've covered what your looking for here.
Light Ginger in the Mona Lise line is the closets to the Disney parks shade but a tad to light.
And yes you can dye a wig darker but I'm taking a gamble on dyeing the lioness because I don't know how well the ink would take to set set wig.
Also for reference this cosplayer use two of Arda wigs.
Edit: Actually if any ones interested in the Mona Lise Lioness in Light Ginger I was thinking of selling it off with the 3/4 wig extension int he same shade because I love the Arda Pumpkin shade in person. Own a swatch ring so I know what I'm buying.^_^