One of the biggest challanges we have faced with continuous corn is the old stalks.  They potentially harbor disease, pests, and tie up nitrogen next year.  Since you are no-till I would be sure to spread some N in the fall to help break down the old stalks.  Some people would spread ammonium sulfate, others a little urea, I've even heard of people spraying 32% to help break down the stalks.  If you want to no-till I'd consider using a bush-hog on the stalks and then spreading my fertilizer for next year. (Maybe some 18-46-0) That way you could get a little N to help break up stalks after they have been chopped up. I think planting between the rows next year would be a good idea too.
Personally we try to get our stalks broke down using tillage.  It's the method we are comfortable with, know, and it works on our soil.

Corn on corn