What kind of vine are you looking for? There's a lot of types.
Remy

Coral honeysuckle is a native perennial vine that blooms heavily in spring and then on and off all summer into fall. It is not aggressive nor invasiveIt would be my #1 choice

For annual vines there are morning glories, Cardinal climber, cypress vine and spanish flag. All of these bloom later in the season until frost.

Penny