For a car amp you say... What about building a boost converter? Unless I'm missing something here, the secondary windings with a fixed turns ratio ratio seem like unnecessary complications. Do the secondary windings have to be isolated for your application?
Boost converters have several advantages: simplicity, efficiency, and flexibility. Assuming a suitable amplifier design, you could make it work with 2-ohm loads, 4-ohms, or 8-ohms or more with similar power output at each load by varying the output voltage. The green rectangle in the picture represents a boost regulator i.c., feedback resistors, and probably a couple of other small components to keep it happy.
Also, about what was said earlier: toroidal cores aren't the only type of core with low emissions, low-profile E-cores from Ferroxcube are also good (for high-current applications you can stack several of them alongside each other).
CM