This is my own adapted version that I made from an Epicurious recipe. They are delicious but I need to say that they taste best the next day. When fresh from the oven the ginger hasn't really matured and mingled to it's best yet.
Arrange racks in upper and lower thirds of oven and preheat to 375°F Line 2 large baking sheets with parchment paper.
In food processor, combine oats, both flours, salt, and baking soda and ground ginger.
Pulse until oats are coarsely chopped, about 6 (1-second) pulses and set aside.
Using electric mixer at high speed, beat butter and Splenda brown sugar until fluffy, 2 to 3 minutes.
Add egg white and vanilla and beat until smooth, about 1 minute. Add oat mixture and mix at low speed just until incorporated.
Stir in chocolate and ginger.
Drop rounded tablespoons of dough about 2 inches apart onto baking sheets.
Bake, 2 pans at a time, switching positions of pans halfway through baking, until golden and slightly crisp on edges, about 10 to 14 minutes. Cool on sheets 3 minutes, then transfer to racks to cool completely. Continue making cookies with remaining dough and cooled sheets.
To keep them fresh, pack the cookies in covered containers with waxed paper between each layer. If it's very hot out, you may want to refrigerate them until you leave to ensure that they won't melt before dessert time.