Are you able to provide the SQL required to pull the information now?
The timeouts occurred with both processes, but it was predominately when pulling images are they were processed. Especially when it was working on a couple of hundred images at level 1.
I ended up bypassing the webserver/CloudFlare by manually running the wp-cron.php file from the command line.
Once I hit the level that allowed full automation the cron script appeared to work by itself, but prior to that it was a painful exercise.
ATUM needs PHP v5.6 or above.