Sorry but I was unable to get it working with your solutions.
After some time, I believe it was the kinematic equations I were looking for. That took ages to find. So much physics too.
I believe by using these formulae, I am able to calculate the velocity needed either based from distance and time, or distance and peak height.
I think I’m going to try the distance and peak height variation since it should allow adjustments to be made if some roof is blocking the throw.