I'm not entirely sure why the type of collar is dictating your choice of tie. Are these very narrow-spread point-collar shirts? Many "skinny" ties are close in width to regular-sized ties up around the neck area.
Ideally, your tie width should be a function of the width of your lapels as well as the width of your body/shoulders. The idea is for the tie to be in proper proportion to your body. If you are skinny, then you should probably wear a slimmer tie. If necessary, you should get a shirt that is more accommodating to your tie.