Sorry for the confusion, but there are many different ways of keeping seahorses. The 20 gallon long is too short for most species of seahorse.
There are some species, like capensis, that are smaller and appreciate the length of the tank, but they would still appreciate a taller tank (preferably 3x the height of the seahorse). Capensis also need a chiller because they need to be kept in the mid to lower 60's (public aquariums keep them in the upper 50's even) in the home aquarium in order to help prevent stress and disease.
The reason I didn't recommend dwarf seahorses for your 20 gallon long is because typically, with new dwarf keepers (especially those who are new to seahorses), larger tanks can be problematic, because the feeding density needed to make sure your dwarves get adequite food is ridiculously high in a large tank. The other option is to try to make the tank semi-self sustainable, using lots and lots and lots of pods, plus seperate pod cultures and the occasional feeding of newly hatched brine shrimp... but the idea is new, and something that experienced keepers are working on at the moment. For a new seahorse keeper, I wouldn't recommend dwarves, and for the new dwarf keeper, I wouldn't recommend keeping dwarfs in anything larger than a 5 or 10 gallon. If you did decide to keep dwarves in your 20 gallon, you would have to get rid of the shrimp, and you would potentially have to treat it with panacur at some point, which would definately kill the feather duster, and might kill the snails and mushrooms as well (panacur rids the tank of hydroids, which can kill dwarf seahorses).
I wouldn't recommend keeping seahorses in your 110, mostly because of the tang. In tanks with aggressive feeders and fast swimmers, seahorses have difficulty getting enough food, if any at all. Plus, fast swimmers can really stress seahorses, even if it doesn't appear that the fish is physically bothering the seahorse at all. I wouldn't ever mix tangs with seahorses. The clowns would also normally be a problem, but, if they have defined their territory in one end of the tank, and you arrange a seagrass bed or gorg forest in the other for the seahorses, you might be okay... although your seahorses will probably try to visit the entire tank, and would likely run into the clowns, so if they are aggressive at all, thats a no go. The tank would also need to be seahorse-proofed. All anemones, stinging corals, clams, and crabs, would need to be removed, and any exposed powerhead or filter intakes would need to be covered with bridal net or a filter sponge (hydor koralias would need to be removed, they can chop up a seahorse tail), also if the heater is in the display and not in a sump, it would need to be covered as well. Seahorses were last in line when brains were passed out, and they will drag their tails over anything, and wrap their tails around anything, regardless of any danger that thing poses.
Oh, and in both cases, for tropical seahorses (dwarf or otherwise) temperatures should not exceed 74 F, to prevent bacterial infection.
The best place to start when considering seahorses is to read through the libraries and forums on
www.seahorse.org and
www.syngnathid.org... the forums are the most up to date information you'll find on seahorses (most published books are out of date at this point, since seahorses are a new field, and obviously most places selling seahorses are a bit untrustworthy), and the libraries are free and full of information. There is a good book out there written by Tracy Warland as well, if you can get a hold of it.