Unfortunately, the issue of social media falls outside the scope of the Speaker's responsibilities, unless members and the House decide to give the Speaker that power. Otherwise, the Speaker cannot make a judgment on anything that goes on outside the House or its committees.
Coming back to your first question about any suggestions I may have, I'd say that a code of conduct would be much more useful than a document as thick as a phone book listing all the behaviours that aren't acceptable. Coming up with something like that would be too complicated. Setting goals we want to meet may be a better idea than determining what isn't acceptable.