My limited experience with the 404 untill now has been an good soft point bullet, an good solid, and an good lead bullet is actually what you need for fodder for the .404 .

As far as i rember here now of the various manufactures, Asquare makes their Trio of bullets, Rhino, swift, woodleigh, makes 350 grain up to 450 grain, Ken Stewart in South Africa, Tonheim PBP here in Norway makes an 300 grain HP and an 400 grain solid in copper or brontze, , Barnes , Lutz Møller in Germany, so its alright to get bullets for the Jeffery today.