If you have virtual members that are going to be invoked during construction (against best advice, but we’ve already agreed on that), then you need to move your initialization into a separate method, that can protect itself against multiple calls (i.e. if init has already happened, return immediately). That method will then be invoked by the virtual members and your constructor, before they rely on initialization having occurred.
It’s a bit messy, and may represent a minor performance penalty, but there’s little else you can do in VB.