One of the most dangerous things for anybody who professes to know about the history of anything to do is to claim certainty that something didn't happen. It would be silly for anybody - least of all me - to claim he or she knows about every single plastic kit that's ever been produced by anybody. Having said that, I'll stick my neck out and offer the following assertion (subject to correction by anybody who has some contradictory evidence): there is not and never has been a plastic kit of the Andrea Doria.
That assertion isn't as bold as it would be with most other phases of the hobby. There simply haven't been very many ocean liner kits (apart from the inundation of Titanics - five or six - that we've experience in the last 25 years or so). Revell used to make a United States, a Brazil (reissued as the Argentina), an Oriana, and a Queen Mary. Airfix made a Mauretania, a Queen Elizabeth, a France, a QE 2, and a P&O liner whose name escapes me at the moment - all on 1/600 scale. And a long time ago Pyro made an American President liner. To my knowledge the only 1/350 liners have been the Titanic, the Lusitania, and the QE 2. (I think I vaguely recall also seeing one or two smaller cruise ships in 1/350 from a Japanese company.) Glenco has reissued a couple of ancient ITC kits representing the United States and the France. And Hasegawa and Aoshima contributed a couple of pre-WWII Japanese NYK liners to the 1/700 "Waterline Series." Two new Queen Mary 2 kits are on the way: one from Revell in 1/400 and one from Airfix in 1/600. That's about it. I imagine I've left out one or two; maybe some other forum members can correct me. But I'm about as sure as one can be about such things that there's never been an Andrea Doria - certainly there's never been one on 1/350.
I suspect the ship is represented in at least one of the vast ranges of 1/1200 cast metal liners. Many of those products are really remarkable in their detail and accuracy. But not in plastic. Unfortunately this is an extremely small segment of the hobby business, and the manufacturers rarely cater to it.
You might want to try the website of Pacific Front Hobbies; it's just possible that somebody has issued a resin Andrea Doria kit. Sorry to be so pessimistic. I happen to think liners make beautiful - if demanding - model subjects, and their historical significance is undeniable.
Good luck.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.