I've seen back and forth on treads before about whether it is necessary to dose a two- part (and magnesium). It's been my experience that zoas generally do fine as long at the PH is stable.
As for the lugol's I'm a plus one. Iodine tends to get used up pretty quickly after a water change so giving it a little bump between changes goes a long way.
On another thread we recently discussed Vitamin C dosing (Ascorbic Acid) and it's benefit to zoas (I'm a believer) but also the drawbacks as it can bottom out nitrates and phosphates.
Beyond that I know some local reefers that dose aminos to great effect but I can't offer any first hand experience there. It is, however, something I'm looking to try.
The last and greatest factor I'd add is feeding. Zoas are heterotrophic. They need to eat. What's more it's important to vary the size of what you're feeding them. Reef roids is a good starting point. Polyp Lab also has a polyp-booster that triggers the feeding response, whether it's snake oil or beneficial I'd like to hear others weight in. It's good to vary the food you're feeding them. Reefroids is 150-200 microns. You might also want to do a phyto, reef chilli or freeze dried cyclopes. Just remember with any of these products less is more and you need to keep a close eye on your water parameters for the first month or so to see how and in what proportions they affect your water chemistry.