Change property value without destroying binding to support two-way binding

I want to create a custom component, which allows two-way binding with the following (traditional) setup:

// main.qml
property var someStoredValue: someInitialValue // may be C++ property in real application
MyCustomComponent
{
    myProperty: someStoredValue // this binding will be destroyed on user input
    onMyPropertyChanged: someStoredValue = myProperty
}

// MyCustomComponent.qml
Item
{
    property var myProperty: null
    MouseArea
    {
        anchors.fill: parent
        onClicked: myProperty = "some text or other value" // breaks the binding set in main.qml
    }
}

MyCustomComponent should be able to update myProperty (programmatically), without destroying the binding between someStoredValue and myProperty. How can I change the implementation of MyCustomComponent to achieve my goal?

One solution would be to use QObject::setProperty to update the myProperty without breaking the binding.

First, we should expose the QObject::setProperty to QML, f.ex. using a singleton object:

#include <QObject>

class QmlHelper : public QObject
{
  Q_OBJECT
public:
  Q_INVOKABLE void setValue (QObject *pObject, const QString& name, QVariant v)
  {
    QByteArray n = name.toUtf8();
    if (v.isNull())
      v = QVariant(pObject->property(n.data()).userType(), nullptr); // ensure v is of correct type
    pObject->setProperty(n.data(), v);
  }
};

You should register the singleton type:

qmlRegisterSingletonType<QmlHelper>("MyUri", 1, 0, "QmlHelper", [](QQmlEngine *, QJSEngine *) -> QObject* {return new QmlHelper();});

MyCustomComponent could now be implemented as:

Item
{
    id: myComponent
    property var myProperty: null
    MouseArea
    {
        anchors.fill: parent
        onClicked: QmlHelper.setValue(myComponent, "myProperty", "some text or other value"); // updates myProperty without breaking the binding
    }
}

DISCLAIMER: Changing QML properties from C++ is a rather tricky solution and not well documented. Use at your own risk.