phase shift full bridge converter
You didn't tell your intended topology. I think, that 96 to 200 V 4Q conversion implies two H-bridges and a transformer. Primary and secondary have to be synchronized. I don't know, if the said TI controllers offer a good way to realize the design, but they basically can do.
I fear, that 100 kHz may be somewhat high in terms of switching losses, 10 to 50 kHz possibly can achieve a better tradeoff between transformer size and losses. With MOSFET, you won't use any diodes for the power stage, normally.