I don't know where you are in this search or what you hope to discover, however...

Try expanding your search.
Although family may NOT have retained any of the physical records, they MAY still have memories. This could help.

Clinton Leophus Lindsay had at least one child.

He also had a birth family, which COULD have been headed by parents Lee and Luvenia (Louvenia) Lindsay in 1910 and 1920.

This Lee is included in one 'private' family Tree on ancestry.

A Clinton Lindsay is listed in the Social Security Death Index (California). It appears he lived in the Los Angeles area.

When did he leave the MS area?
Could he have continued his former professional career in the LA area?

This has the potential to INCLUDE the story of a family's unique professional experiences in the south.

There is a letter online, written and signed by Clinton L Lindsay. It shows that he was proactive and reached out to black leaders of the time period.
Could there be an article on him in one of the news publications of the era?

Also, a few Lindsay Studios photos have appeared on e-Bay in the last few months. One is of a Birmingham high school Graduation class.

1935 Parker High Grads: http://tinyurl.com/cheg75j

Some appear to be 'collector's items'.

Best of luck.