Certainly. Your best and primary source is the data listed in the ‘Statistical History of the United States’. I can give that to you if you need it.
Next, a respected economist of the time, Thomas Kettell, used the data from the Treasury department in his book in 1859. He was often quoted by newspapers and orators of the time.
More up to date authors quote the same government data. Examples are Charles Beard and Charles Adams, in both his books.
The volume and value of southern grown products as a percentage of exports was widely known by the members of the legislature of the time, and frequently quoted in the congressional records.
Is it available online?