For starters try moving that crate four inches forward on the rack. Not clear what it is you are carrying that requires such a big crate. The usual milk crate on a bike rack is nothing like that big.
No one paid any attention to my #32. Oh well, this place seems dominated by the bike industry and what they want to sell today. I mentioned roadsters because they are notoriously good as load carriers. Basically all the third world photos you see of enormous preposterous loads being carried on bikes there is a roadster underneath. Maybe it has to be called a Dutchbike to be understood around here.
Time to stretch your horizon. Take a look at this.
https://www.ebay.fr/itm/234358456021...gAAOSweqVhzwOp
You won't be buying that because they won't ship to US. But it exists and could be done. Try looking at workcycles.com and at jclindbikes.com
There is a whole world full of bikes out there. Ad agencies that re-invented the wheel yesterday and want to make a buck on it are not your friend.