I use non-iron on vilene (it is called tracing vilene here in Aus) and don't have any problems. I trace the pattern onto the vilene, do my piecing but I finger press seams as I go because ironing the vilene does make it wrinkle up. I now do most of my piecing this way, it is so accurate. I even adapt traditional patterns to foundation piece them accurately.
I can't be bothered tearing the paper away so that is why I use the vilene and I have hand quilted and machine quilted my quilts using the vilene as a foundation.
Keep practising, it will get easier, you will work out the best method that suits you.