If you go from 622 mm to 584 mm and use similar size tires, the bike will drop by 19mm.
If you change from 23mm wide tires to 35 mm wide tires, the bike will only drop about 7 mm (~1/4 inch) - this is a pretty small change: you can make this change on a touring or road-sport bike by switching from a 23mm tire to a 30mm tire.