The lack of sun may be a problem for most plants. Some that would be good to consider include clumping types of bamboo (not invasive). Monrovia carries the following varieties:
BUDDHA`S BELLY BAMBOO (Bambusa ventricosa)
GOLDEN GODDESS BAMBOO (Bambusa multiplex ?Golden Goddess?)
PUNTING POLE BAMBOO (Bambusa tuldoides)
ALPHONSE KARR BAMBOO (Bambusa multiplex ?Alphonse Karr?)
Of these Golden Goddess is probably the best for the situation and location you described. You will need to cut the tops off at the desired height of the screen.
Some other options would be:
DWARF SOUTHERN MAGNOLIA (Magnolia grandiflora 'Little Gem')
BRIGHT 'N TIGHT? CAROLINA LAUREL (Prunus caroliniana 'Monus')
SKYROCKET JUNIPER (Juniperus virginiana 'Skyrocket' (J. scopulorum 'Skyrocket')) although it would probably need more sun than 3 hours to do well.
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