That is pretty standard. From what I have learned you will need to use the Weber lid trick to add another rack. or have two racks with not much room but I hear you do not want to impeed air flow either. My drum is 34" tall as well.
I just learned that the minimum height of 24" is from the grate not the top of the basket...Now I can add another rack! You can learn something new everyday. Thanks Suprfast for the link that's where I found the info and to DDave for clarifying!