First things first... Targetting both Android and Symbian will be hard as Qt4 is not available for Android and Qt5 is not available for Symbian. Thus if you really do need both, you have to implement your system in such a way which is buildable with both Qt4 and Qt5. This is easier done with widgets than with QtQuick unless you use the obsolete QtQuick1 with Qt5.
Having said that, I can suggest to focus on developing the "core" right now which should be completely UI agnostic. This way you can postpone the decision on the UI or even you can have a prototype UI based on widgets and then quickly switch to QtQuick if needed. If you need custom drawing, base it around a render function that works on a QPainter pointer -- then you can use your drawing "engines" with both widgets and QtQuick.
Try to design your system in such a way that it doesn't care if it is presented using widgets or not.
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