I sent an email to the Corps of Engineers asking if a person could put out brush piles. Here is the answer.

Nolen, Matthew S CIV CESWT CESWD (US) Email- [email protected]
We can authorize the placement of natural brush, but we need to know where the brush piles are proposed. From there, we need to coordinate with our regulatory division in Tulsa and further investigate to ensure the brush piles don't interfere with recreation, boating, navigation, flood control, etc. We also need to make sure that the brush isn't sourced from government land. This can be a lengthy process.

Bill