How can I make IsMouseOver not care about other things covering up the control?

How can I make IsMouseOver not care about other things covering up the
control?

I use the IsMouseOver property frequently in my WPF program.
Unfortunately, I have other visual elements from other branches of the
visual tree that sometimes cover up my controls. When they cover up my
controls, the IsMouseOver becomes false on my controls, even when my mouse
is over the covered up control.
How can my control have an IsMouseOver property that doesn't care if it's
covered up at the cursor location?
I looked at this solution but I don't think I can use it, because it
basically uses polling every time that the mouse moves. I think that would
slow down my program significantly, because my visual tree is extensive.
Note that the visual elements that cover up my controls are not children
of my controls.