Rebuilding a bad design that already failed once seems like a bad idea.
If the Olympic is any indication, the design did have some merit once retrofitted with improvements to the initial design flaws.
Honestly, I think it would be kind of a cool way to get away from the hustle of modern life for a week. Take the family on a trans-Atlantic cruise with no phones, no television, no internet. It would be kind of refreshing actually.
With the rates charged for ship-board internet and the lack of cell towers on pontoons in the ocean you can get pretty close with a some existing cruises
The third ship in the series, Britannic, also sank due to crew negligence and it had the design upgrades. Leaving a shitload of portholes open during wartime was probably a bad idea up there with steaming through an ice field in calm waters at flank speed during the night.
Then don't put bad crews on ships. Design upgrades can't fix stupid. That doesn't mean you blame the ship for all the fallout.
Can't you charter a yaht and cross the atlantic for your own group for a mill?