I can't put my lights in a traditional way on the same side as I am
What do you mean the same side as you are on? The only thing that should happen is the light should be lowered. I am not certain who said it, but I think it was one of Monte Zucker's teachings. Pretend there is a pole sticking out of the subject's head that is attached to the main light. Wherever the light looks good in a 2/3 view while sitting on a stool; that is the exact same spot to place it for a profile, a standing photo, a laying down photo, anything. Wherever the light is best, is where it should be. Just remember that the light direction is relative to the client's face, not you. Am I making any sense? You can create the exact same lighting pattern regardless of where the subject is looking or how high or low they are in relation to the camera. That is what you need to do. You are not working with the sun (or some other fixed light source), the light can move around to accomodate you now, not the other way around.
Of course, some poses may require slight changes in lighting to keep from making it look distorted, but then that should be more controlled with lens selection and shooting angle, I think.
I hope that answers your question. Basically, if the model is on the ground and looking down at the floor, the light will have to be set as low to the ground as possible and then just above her head and off to one side. So back to the original statement; if the light were connected to her head when she were sitting, it would move with her when she layed down on the floor. If you can't get enough light in her eyes from there, have her tilt her head up slightly until you get it.