If it were me, I really wouldn't be bothered converting that oven. It sounds far too complicated.
Using a transformer with a cooking appliance is also not a great option as the loads are way too big. It will end up with a really messy setup.
You also run into issues with wiring regulations, at least you would here anyway.
There are potentially complications such as providing overcurrent protection on the 110V side. You would need a multi-poll 110V MCB that complies with UK standards.
There's no big deal in bringing small appliances / electronics across the atlantic either direction, but when you get up to things like cooking appliances, washing machines, dishwashers, vacuums etc it really stops being worthwhile unless someone's got some major sentimental attachment to the device!
