you have a wet/dry sump? The rio returns water from the sump? How does the water return from the display tank to the sump? Is it drilled or do you have an overflow? How far away is the sump tank?, right under the tank? You can't get a pump that would push more water than the overflow can handle, unless you would need to put a ballvalve on the pumps ouput to turn it down.
That being said, wet/dry are good to convert into refugiums and get rid of the dry part, esp for reefs. They become garbage traps.There are alot of pumps that are good, if the sump is right under the tank a reeflo pump is good, snapper or dart. They are energy efficient, quiet and move a lot of water. They just get weak when the is alot of head pressure. If it was me I would get a super dart gold.
You need a decent amount flow and your overflow probably cant handle it all.