Ancestry.com has a collection of Slave Manifests for New Orleans 1807 - 1860 (both arrivals & departures).
There are no lists for slaves that travelled overland or via rivers (not arriving in New Orleans).
Dear Ms. Jones,
Thank you for posting your request on History Hub!
In addition to the information from the previous poster, we searched ArchiveGrid and located 269 sources for the search “Slave Trade and New Orleans” that may contain the information that you seek as a part of personal papers and documents held in small archival collections.
As records of enslaved people were often listed as property or estate transactions, we suggest that you search the Avoyelles Parish Colonial Records, the Manuscript Resources on Plantation Society and Economy guide from LSU or request a search from the Louisiana State Archives. We also suggest that you search the Slave Data Collection or the Unknown No Longer: A Database of Virginia Slave Names for any mention of Benjamin Sampson.
In addition, the FamilySearch Research wikis for African American Resources for Louisiana, Avoyelles Parish, Louisiana Genealogy the NARA document Federal Records that Help Identify Former Slaves and Slave Owners and the Smithsonian article Retracing Slavery's Trail of Tears | History may be useful.
We hope this is helpful. Best of luck with your research!