I believe your algae scrubber would benefit from the water directly coming from the display. Not after it has been skimmed.
How many drain holes on the display? Are you doing a Bean Animal type of overflow? I would split out the display drain so that one goes into left side(sock and skimmer) and one going into the right side(algae scrubber) and have them both going into your return section.
I run a 3 drain Bean Animal overflow. One goes straight into the sock, and skimmer. The second one goes into my LPS tank then into the fuge and then flow into the sock. The 3rd one is, of course, an emergency drain that only be used if the other two drains are clogged. I have all sort of nasty algae in the fuge but none in the display.