I'm looking to put down some flooring to give the basement a clean look. I'm considering the new Lifeproof (plastic?) since it is waterproof. The issue is that I do not plan to finish the walls with framing and studs due to various reasons. Our concrete walls are painted white and look clean as is. Now we also have about 2 inches wide gap (pic attached) for the French drain running along the perimeter of the basement. So if I dont put wall framing down what are my option to finish the edges of flooring without covering the French drain. I was think of getting the treated 2x2 lumber all around the perimeter, use liquid nail and deck screws to attach it to the concrete subflooring. Then lay down the 6 mil underlayment and then the life proof flooring.