I want to complete reading the Quran (khatm) during the month of Ramadhan however I am unsure about rulings whilst menstruating. I am aware I can recite the Quran but can not touch the writing however what do I do about compulsory sujoods? Can I perform them without wudhu during menstruation? Or will I have to skip those ayat out and not be able to complete the Quran fully?

You cannot recite the ayat with wajib sajdah whilst menstruating but you can read them once your cycle is over.