Have you tried shifting the direction of the ventilation? If you soak the hairpiece in warm water for a few minutes, you can get the hair to change the direction in which it is ventilated by gently pulling it into the trajectory you want. Basically the knot slips round the thread on the base to which it is attached. You have to be gentle, but it is worth a try. I have done it for temple hair.

What is the problem with feeling the lace? Do you mean third parties (dates etc) feeling the base of your wig when you are wearing it? Is this related to the other problem or is it a different problem? Can you elaborate?