LayOut is the right tool for the job. You should be able to create scenes in your SketchUp file that show the required views of your project. Make sure that for plan and elevation views you have the camera set to Parallel Projection. Then save the file and send it to LayOut. Choose a paper size that is appropriate for your 1/4 in. to the foot scale. The copy the initial viewport, change to the appropriate scene and set the scale as needed. You can add dimensions and labels in LayOut, too.
It sounds like you don’t really have a clear understanding of what LayOut is or how to use it. It would be worth taking time to go through the LayOut Essentials so you can get that stuff down.