I've grown both Cypress Vine and now mostly stick to Cardinal Climbers, they're very similar, and I've never had a problem with either one of them. Cypress Vine has more delicate foliage and distinct star-shaped flowers, but I think the Cardinal Vine is a stronger grower and covers more area, and I always plant it for hummingbirds every spring, I start mine from seeds indoors.
Here's a link that shows both:
https://garden.org/ideas/view/...
And I agree with trying a mix, to be sure that whatever is limiting morning glories doesn't affect the Cypress or Cardinal vines the same way. That way you can see what really does the best in that area.