Unfortunately goldhammer's right. The expense of raising the ship would just be the beginning. Conservation would be astronomically expensive - and even after the initial treatment (which would take several years) the ongoing expenses of preserving the ship would be almost as bad.
I'm reminded of the case of the Hunley. The people who started that project estimated that raising her and conserving her would cost something like $3,000,000. It's now up to more like $50,000,000 (if I remember right), and the job isn't close to finished yet. Whether it ever can be finished completely is a question that makes me nervous.
I'm also reminded of a shipwreck excavation project I saw in Holland about thirty years ago. Much of what's now Holland was under water for hundreds of years, and farmers are still plowing up historic ships in fields. So many have been uncovered that the government has several decades' worth of conservation projects waiting in line. The one I saw was still in the farmer's field. The ship dated from the fifteenth century. A team of highly trained conservators was meticulously taking every piece of metal and wood out of it. They had set up a metal platform over the wreck, so they could take pictures from overrhead every day. As each piece came out, they drew pictures of it, measured it, photographed it, wrote a verbal description of it - and burned it. (I took a couple of iron spikes, which have since rusted almost beyond recognition.) The Dutch were smart enough to realize that the money and manpower necessary for a thorough conservation job on every Dutch shipwreck simply wasn't going to be available before the ships rotted beyond saving.
I agree with goldhammer: this one's better off under fresh water.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.