Sounds like you would need something with wide branches down near the base of the trees, like cedars. Are you concerned at all about giving up 15 to 20 feet of yard space in front the property line when the trees grow? And if a shubbery hedge, with keeping it groomed? And if evergreens don't fit into your plan, are you OK with raking leaves in the fall?
Maintaining the visual depth of your yard and reducing gardening work would favor the choice of a replacement fence. Of course, a lot depends on who and what is on the opposite side of the fence, like quality of neighbors, children, and pets.
Maintaining the visual depth of your yard and reducing gardening work would favor the choice of a replacement fence. Of course, a lot depends on who and what is on the opposite side of the fence, like quality of neighbors, children, and pets.