Might not have been a large plantation even tho he shoved he owned slaves on 1840 census..

Jotham and James Bedell , architect designed "Shadows on the Teche" in New Iberia 1831-1834 for the David Weeks family
http://en.wikipedia.org/wiki/Shadows-on-the-Teche

find-a-grave
Name: Jotham Hulbert Bedell
Birth Date: 5 Jul 1807
Age at Death: 52
Death Date: 8 Oct 1859
Burial Place: Franklin, St. Mary Parish, Louisiana, USA
1840 census J. H. Bedell
Saint Mary Parish
1850 census J H. Bedell
abt 1807 New York
Franklin Cemetery St Mary Parish
---------------------------------------
LA census 1791-1890
Name: J. H. Estate Bedell
State: LA
County: Saint Mary Parish
Township: Bayou Teche
Year: 1860
Page: 032
Database: LA 1850-1860 Sugar Census Index

Look for Estate property records / sales or conveyance records / succession / probate records
--------------------------------------------
find-a-grave St Peters Cemetery New Iberia Parish
Name: James Bedell
Birth Date: 28 Dec 1803
Age at Death: 45
Death Date: 24 Mar 1849
Burial Place: New Iberia, Iberia Parish, Louisiana, USA

good luck in your search