Here is my best advice, you should wait for someone who knows, lol.
I believe you need a short shaft with a jack plate. The lower unit should be just inline with the bottom of the transom, so 15". The jack plate
(
https://www.iboats.com/shop/seastar-solutions-manual-jackplate-6-setback.html ) can be adjusted to the exact height you need as I suspect it will need some fine tuning as that boat will ride up on the sponsons. I had a hydroplane when I was a kid with a 10hp so that gives you an idea how much I know about racing boats ... not much. Someone here will give you the proper answer.
That boat looks really fast (100 MPH?) and dangerous. I bet you will really have to know what your doing. Do you plan on racing it?