I have a half Haflinger pony with chronic laminitis due to Cushings and insulin resistence. I work closely with my vet and a lameness specialist farrier to keep him as sound as possible. He's in a dry lot and I feed him several small meals of first cutting hay each day - this mimics grazing, will help stave off ulcers, and keeps his metabolism steady. He also gets Quiessence along with necessary vitamins. And since he is cushinoid, he's on Pergolide, too.
When he has a bout of laminitis (acute), my main concern is providing relief for him. Since he's a pony (not a mini), I add bute twice a day. I don't think anyone recommends bute for minis. Banamine or one of the other NSAIDs are usually used (check the forum for pain relief regimes for minis). You also have to consider the real possibility of ulcers.
If his symptoms are severe, I keep him stalled in 6" or more of sawdust; sand will also work, but I don't like the possibility of ingesting sand. Otherwise, if he's moving about okay (just sore), I let him stay in his dry lot since he's much happier outside, watching him closely to make sure he's able to walk to his water without trouble. I have also used boots with a gel insole to cushion his feet and/or keep out the ice balls that form in the winter.
Whenever an acute bout of laminitis occurs, I have the vet out to assess him and take additional x-rays of his feet, if needed. Rotation of the coffin bone is a killer. The farrier also checks the x-rays before any additional trimming is done.
Here's a website I've found helpful regarding laminitis:
http://evrp.lsu.edu/06laminitis.htm
Best of luck to you and your little one!