I would suggest use some mix bag of design patterns. That will help you solve this problem efficiently and make the code maintainable as well.
Based on my knowledge, you can use the Abstract Factory pattern here. See the design sketch below in the figure.

Method1 and method2 in subclass1 and subclass2 are the ones which are supposed to be exposed while method3 and method4 in subclass1 and subclass2 are the ones which we don't want to expose.
Create a Genericsubclass interface and create some methods in this interface depending upon the nature of methods you have in subclasses. For ex: i have create one method in this interface called nonEventbasedmethod1
Create a factory corresponding to every sub class and each factory will implement the GenericSubclass interface. Then implementation of nonEventbasedmethod1 method in subclass1Factory would be some thing like
nonEventbasedmethod1(){
subclass1.method1();
}
and implementation of nonEventbasedmethod1 method in subclass2Factory would be some thing like
nonEventbasedmethod1(){
subclass2.method3();
}
Then create a SubclassAbstract Factory which will return one of the subclass factories and then without worrying about which factory has been returned (that decision has already been taken in SubclassAbstractFactory before returning the appropriate factory) simply call the desired method from GenericSubclass interface and underneath one of the methods from the subclass1 or subclass2 will be invoked.
Hope this helps.