Because of the length of the bullets used in the 338 they had to shorten the case by .100 thou.
If you want to use the 300 ultra case and neck it up to 338 you might onyl have a single shot on your hands as the bullet lengths will dictate whether or not you can use your action as a repeater. Optimum conditions are when the onyl part of your bullet that protrudes past the shoulder/neck intersection is the boatail of the bullet giving you maximum case capacity.
you will have to experiment with how much freebore you have to determine where your bullet will actually be seated.
but if you have the dimensions of the bullet and dimensions of the case then you can design the case with the bullet and have a reamer made to match those conditions.