 This phase II trial studies how well methylprednisolone sodium succinate works in treating patients with graft-versus-host disease GVHD of the gastrointestinal tract that has begun within 100 days of transplant acute GVHD. Corticosteroids are a type of drug that reduces inflammation. Giving corticosteroid drugs, such as methylprednisolone sodium succinate, directly into the arteries of the gastrointestinal tract may help treat inflammation caused by GVHD. Giving methylprednisolone sodium succinate in addition to standard treatments may be more effective in treating GVHD. 