It looks like a reasonable converter for your application. You’ll have some pretty big currents but not crazy high.
I guess - guess - that peak current mode control could be good for this topology, using A CT for each MOSFET. You’ll have to check for literature.
On the output side, SiC diodes are really good. They would drop around 1V under load. For a full bridge rectifier that’s 2V out of 350V, or about 0.6% efficiency drop.
Again you’ll have to check the literature, but I don’t think there are big issues using a voltage doubler output here from a control perspective. However, leakage inductance in the transformer, MOSFET stage and output rectifier with be critical, so tight layout is needed.