I did indeed contact my hosting provider. Once contacted we found that the underlying error in the Apache error log stated (as seen below, and in the post above)
[Thu Jul 30 08:08:33 2015] [error] [client (myhomeipgoeshere)] GPL Ghostscript 8.70: Unrecoverable error, exit code 1, referer: http://dev.saveourlake.org/
[Thu Jul 30 08:08:38 2015] [error] [client (myhomeipgoeshere)] malformed header from script. Bad header= %interp_exit .runexec2 : index.php, referer: http://dev.saveourlake.org/
[Thu Jul 30 08:08:38 2015] [error] [client (myhomeipgoeshere)] GPL Ghostscript 8.70: Unrecoverable error, exit code 1, referer: http://dev.saveourlake.org/
[Thu Jul 30 08:08:42 2015] [error] [client (myhomeipgoeshere)] GPL Ghostscript 8.70: Unrecoverable error, exit code 1, referer: http://dev.saveourlake.org/
My hosting provider stated that this is due to some sort of developmental issue with the plugin being used causing an internal server error to be thrown and that the developers of the plugin would need to investigate to find out why their plugin is throwing this error when the command from wpdm is initialized… Please assist us in this matter as this is causing a delay in our development.