I haven't tried skydiving but, I do know that typically a helmet is required. So you shouldn't have to worry about your hair system lifting.
I have looked through the tape adhesives that you purchased and the Walker Ultra Hold tape offers a good strong bond. If you're looking for a little extra security you could do a full scalp bond rather then your typical perimeter bond when you go one your skydiving adventure.
Another thought would be to tie a bandanna over your hair for your adventure. I've heard from clients that ride motorcycles and they do this to protect their hair as well from the friction of the helmet and wind.
Best of luck to you! And let us know how things work out.
Mary | Client Service Team Lead | firstname.lastname@example.org