a refugium is never a bad idea, and any tank would benefit from one. it might not solve your algae issue, but it could.
meanwhile, you could never synchronize 2 pumps. there are too many variables involved.
you could add a refugium a number of ways:
use a HOB refugium, which i believe, brings it's own pump.
you could convert your wet/dry into a sump with refugium, by removing the bio balls and replacing them with macroalgae and live rock rubble. i think you'd probably want to get rid of the drip tray too.
you could split your drain line to your wet/dry to a separate tank which would hold your refugium, and put it's own return pump in it.
you could completely remove the wet/dry and build a sump with refugium out of a standard glass tank.