Earlier quoted context omitted.
Are you happy with the performance of AppEngine? I have tried it last summer and was quite disappointed. CPU-bound programs that completed in a few seconds on my own computer took about ten times as long on AppEngine despite similar nominal specs (GHz and RAM).
App Engine expects your web apps to return almost immediately (in a matter of few ms). For anything that takes longer, you need to use task queues in App Engine. Or maybe try AppEngine Managed VM's?
https://cloud.google.com/appengine/articles/deadlineexceeded...
(I work at Google, but not on App Engine)