The advantage you get in "flyboost" over straight flyback is very small: at 50% duty cycle (ideal, minimizes peak currents), the switch only sees 24V peak, or 6% of the total output. Nearly negligible.
There can be good reasons for using a pure flyback topology, like isolation, multiple outputs, or reducing winding capacitance. It's not obvious if these are useful features, based on the vague OP.
Tim