If you stay with your original file and display-quantise it, you can start tidying things up and export the score using musicXML to Sibelius.
In theory you can move music XML files between Sib/Finale and Cubase without losing editorial work, although the music XML import in Cubase 7 doesn’t work properly and can mangle scores, but if you’re only exporting, it should be fine. It’s worth a try if it’s your own music, as you know if the score looks right or not. Sibelius has some minor issues with musicXML BTW, but nothing like Cubase 7.