I ran a BRS mini reactor in my biocube when I had one. Just the tiny mj1200 pump in the middle chamber, reactor in the cabinet, and return back into the third chamber.
Back in the day we used to use the aquaticlife 115 skimmer, but I don't think that fits in the "new" design of the 32 with the lid still on, or without some hood modification. The coralife skimmer is absolute garbage, and isn't worth the plastic it's made from. You would be better off without it, then actually using it.
Interesting re:Skimmer. Was that the airstone version?