I want to install an over-the-range microwave, but I will be removing
the upper cabinet completely and just putting a shelf above the
microwave.

The problem I have is that the microwave mounts to a rear plate and
then swings up and is designed to be attached to an upper cabinet with
2 bolts. Anyone have a good way to do this without the upper cabinet?
There is a stud right in the middle behind it.

Thanks in advance for the help.