Have button press button and also activate Hypershift?

I switched from a basilisk that has 8 buttons to a deathadder with only 5. I had a button for my alt tab macro since I used it so often and I'm currently trying to do something similar with hypershift. I set hypershift to mouse 3 and alt-tab to wheel down so I can press the wheel and scroll down to alt tab. The problem is I no longer have a mouse 3. Is there a way to set a button to its normal function AND ALSO activate hypershift with it? I was trying to write a macro for this but I can't find the hypershift function in the macro editor.