This is a little difficult because the curves are so closely spaced. One has to make the plot rather large to identify the labels with the curves. In the following example I put the labels all at the end of the curves and labeled only every other one. I also put Tooltips on the curves in case it is being viewed in a notebook.
I don't understand what you mean by having the Grid based on Omega. I just drew a grid but make it very light and avoided the Dashed style (a al Tufte).