Running pywikibot tests on beta sites has been suggested by Wikimedia devs/ops. both as part of the Pywikibot CI, using Travis CI infrastructure .
Thread about this. http://thread.gmane.org/gmane.science.linguistics.wikipedia.technical/82789
Tracking blockers , etc.
Note this task is not about running pywikibot tests on Wikimedia CI infrastructure, which is T100903.