I believe deer can go even higher. But my experience says they won't.
I've had that 6 foot fence up since 2009 and so far, not one deer has come in the yard.
However, deer can see right through chain link. I think it's important for the view to be blocked. Deer aren't likely to jump something when they can't see where they are going to land.
I don't think 5 feet of chain link will work and I don't think you'd be able to stretch the link onto the fence if you don't use cement. You could try cementing only the end posts but if I was doing chain link, I'd use cement on all the posts.
This last year, about 7 sections of my fence were destroyed by Sandy. After the trees were removed, we had deer tracks in the yard the next day. I just finished repairs so the deer will have to eat somewhere else.
Oh, yeah, raccoons. Nothing short of land mines or electricity will keep them out. I don't grow vegetables.