GIMP :: Changing Color Of Dark Image To Lighter

Here is the image I am working with.

I want to change the color to hex #00aced (0, 172, 237). I tried the colorfy, but the image comes out purple. Another way that has worked for me in the past, with white images, is by clicking on the channel dialog and dragging the red down. Clicking on the eye, next delete the original image and than add a new foreground color based on what color I selected from the palette. Of course this isn't working either since the image is so dark.

Now in channel mixer it could work if the RGB would go higher than 200, but since my blue is 237 this is where I am stuck. It has worked with other colors, as long as the RGB is less than 200. This is by selecting each output individually, for example, starting with red and entering a value in red and leaving green and blue at 0. Next selecting Green, entering a value in green and leaving red and blue at 0, and so on... Is there some type of mathematical solution for using the channel mixer, or simple yet, is there a way of making my image more white, without losing my shadows?