Blob Brush & Drawing Inside Shape - Best way to trim excess brush strokes?

I’ve been having a lot of fun with the blob brush and utilizing the Draw Inside function to fill in my vector shape.

However, I need a clean path of just the perimeter of my vector shape (for cutting purposes) and I need to remove all of the excess brush strokes that still appear as paths. What is the quickest and most efficient way to trim away the excess brush strokes after using the draw inside function? Thank you in advance!