Praise be to Allah.
Wa alaykum al-salaam wa rahmat-Allaahi wa barakaatuhu.
Given that no Quraan appears on the surface of the CD-ROM, the rulings concerning the Mushaf do not apply to it, as is also the case with Quraan recorded on audio cassettes. On this basis, there is nothing wrong with you running this CD-ROM and reading Quraan from the screen. As for ahaadeeth, the menstruating woman is permitted to touch the books of Hadeeth and to read from them. And Allaah knows best.