Are you sure about choosing roses as a hedge? I love roses but they are not the best hedge unless it's for discouraging access by thorns.

My suggestions:
Firebush-nice bushy and may attract hummingbirds. Pretty flowers.
Bamboo-more expensive per foot to plant but super privacy at greater heights and no maintenance. There are narrow bamboo types available, "gracilis" for example

I do love the visual picture of a rose against the white fence. Maybe do a climbing rose in the front where privacy is not paramount. Roses don't really "vine" like true climbing plants but in several years time it would be lovely.

My own hedge (no fence) is mixed, a little of this and that: bamboo, elderberry, cassia tree, roses plus smaller bloomers below/in front. The bamboo provides the most screening.

Denise