Do you have a reference picture? I'd be glad to help, but I'm just not sure what look you are going for.
edit: i found a picture, and all I can really say is that if you don't have a lot of experience using liquid eyeliner, I would really keep away from it for something like that, and I would use a stick, maybe Revlon Colorstay, I know is pretty good, especially when you might be sweating from the heat etc.
And then I would just dab some black eyeshadow on the outer part of the eyelid, and then blend it.