Bicycle tires are essentially a balloon with the shape determined by the rim and tire size (plus a bit of tread glued on top).
This is unlike car tires that are designed to be wide and flat.
One option you might have is to try different rim sizes.
A 23 to 25mm wide rim might maximize the height of the tire.
A narrow rim (19mm?) might be a low spot in the height of the tire, as well as a very wide rim (30mm?)
If I was you, and you wish to keep your new fork, then just go with a 25mm or 26mm tire.
Oh, here is an older diagram.
There is lots of data on there. Note, not all 23/25 tires are the same. So, you could look for a tire that runs small... but that might be similar to hunting for an acceptable 25/26 tire.
But, follow the 25mm GP4000.
It is shortest on the narrowest rim, and tallest on the widest rim.