Hi swapguy. I'm from the U.K. and we don't have water oaks here but the web is a wonderful thing if properly used, so I looked it up.
Apparently it is short lived (only about 60 to 80 years). So I would doubt if any climber could do it any damage in that time. I have friends who have sycamore trees
in their grounds that have been there for years (the trees
as well as the friends) and are covered in ivy (this time the trees
but not the friends) and have been, for several generations of the family.
I would say, if you want ivy and jasmine - go for it. By the way, I am encouraging ivy in my new garden, like Van Gogh, I love it.