Carlos Migoya, a veteran banker with no healthcare experience, was picked Wednesday night to become the next CEO of the financially troubled Jackson Health System by a 9-5 vote of the governing board. After negotiating a contract that could pay him up to $975,000, Migoya will likely take over the system on June 1, only a month before Miami-Dade's public hospitals are expected to enter a severe cash crunch that could require drastic cuts. Much of the debate Wednesday among the members of the Public Health Trust, which oversees Jackson, centered on whether the system should be led by a seasoned hospital professional or a banker with strong business experience who has never worked in healthcare. Migoya was a banker for more than 30 years and spent 10 months last year as the unpaid Miami city manager. The two finalists not chosen: Myles Lash, 64, a veteran hospital administrator and consultant, and Ram Raju, 59, the COO of New York City's huge public hospital system.