I'm sorry nobody answered you, and in afraid I can't be of much help either.
I don't have any experience or knowledge on membrane sweep, but what little I know about inductions is that have a high possibility of ending I c section, and hurt more.
Medically, can't help either, maybe you can call your doctor and ask for a professional advice? Anyways, 41 weeks is so annoying but besides that, babies can stay safely in the womb up to 42 weeks.
I'm sorry I can't be of much help!