Jacob, the Brazilian build did exactly what you propose but with glass. They laminated frames and hull panels on the flat and then assembled them (or planned to do so - I never saw any assembly pictures) as for a plywood boat. I regret no longer having the web address for the that sandwich build.
I would offer a caution though. The forward part of the side shell is not really developable. A design with highly flared sides and a vertical stem never can be, although 6mm ply can be tortured enough to get away with it. If you did carbon/foam/carbon sandwich and increased the core thickness beyond that of the plywood boat you might find the CF sandwich skins too stiff to assemble. They might be too stiff even with a 6mm core.

If you just put the carbon on the inside of the shell panels before assembly and then added the outside carbon fibre afterwards you would likely get away with it.
The i550 class rules are not prescriptive on building materials so a CF/foam boat would not necessarily be illegal, although it might struggle a bit with 'lightness.'