Fuge's make poor seahorse setups and seahorse setups make poor fuges.
If you are keeping your refugium in order to provide a home for small shrimp, copepods, amphipods, etc., putting seahorses in will work against you since the seahorses will decimate the population of all the little buggies in no time. If you are keeping the refugium to reduce nitrates, putting seahorses in will again work against you because seahorses are incredibly messy predators and their aquariums generally run higher on nitrates than what is ideal for a reef tank. Seahorses don't have a complex digestive system and everything just goes in and back out, meaning lots and lots of feeding and lots and lots of waste. So, not a good refugium. So, rather than taking out nutrients, your "refugium", would actually be adding nutrients to your reef setup.
As for a refugium making a poor seahorse aquarium, refugiums generally have too high of flow for seahorses. Seahorses need about 5x flow, and it needs to be broken up using spraybars. Seahorses can get blown around an aquarium pretty easily. Also, the 74 degree temperature really is important to keep a seahorse healthy for any length of time. The bacteria that seahorses tend to be so sensitive to are much more aggressive at temperatures higher than 74 degrees. There have been studies to confirm this. Not only do the bacteria reproduce at higher rates, but they actually produce different, more dangerous, protiens, at temperatures above 74 degrees. And, treating a sick seahorse isn't like treating the typical reef fish. They need harder to find medications, and they often go off food quickly, and since they have very simple digestive systems, they can't go more than a couple of days without eating, so this often results in having to actually tube feed your fish. Not fun, and after you've treated one sick seahorse, you will understand the need for the lower temperatures.
Yes, LFS tend to keep seahorses at higher temps, they also tend to feed them worthless brine shrimp, keep them with dangerous corals, and mix them with other species of syngnathid... But the SH are usually sold and in the hands of a customer before they fall ill, and if the SH do die at the LFS, its just a small loss. Any saltwater aquarist knows that the LFS aquariums are not something you want to duplicate at home.
So not impossible, but definately not ideal, and a whole heck of a lot of work. You are much better off having a seperate system and not plumbing the seahorse aquarium into the reef, as it does more damage than good to both the reef and the seahorses.