I don't think it is possible to speed up RCMP clearance. Were you requested fingerprints? If you were requested FP, then there's an email ID that you can send a mail to and request status (May be
@citizenship.enthusiast can clear that up for you).
From the reports I've seen, Hamilton appears to be a slow office. It is true that September and October applicants are receiving test invitations now but the general consensus is that in most cases, test invite won't be issued before BG is completed.
Did you order GCMS notes? When ordering notes, order them from CBSA rather than from IRCC, it apparently gives you less redacted version of notes. While making the ATIP request to CBSA, specify exactly what you are looking for. Something like "Please provide GCMS notes, officer's electronic notes and status updates for my citizenship grant application bearing the application number CXXXXXXX" or something on those lines.
Good luck!