I would like to separate the creation and deletion of stacks.

I believe that creating a separate post-build action for deleting a stack is a good way to accomplish this.

I would like to create a stack using Jenkins and then keep that stack around after the job is complete. Currently, it doesn't seem there is an option for creating a stack and not deleting it (please correct me if I am wrong).

I would like a work flow that looks like this:
Job 1: create stack using CloudFormation
Job 2: configure software on stack – kicked off with SSH scripts
Job 3: run tests against stack
Job 4: delete the stack

I want to keep these as separate, discrete steps because some of these things will be done for production and others for staging and test environments.