Well, there's a coincidence.
I was involved with a Sustrans backed Dr Bike at the Medway Big Ride over the weekend and one of Laura's colleagues helped us, also promoting the Council's own Health Walks and Rides. She has been in contact with me since, although the matters are not directly related.
The rides are organised under the "A Better Medway
" / "Active Medway" banner. A previous contact at the Council, Hazel who retired last year informed me that the cycling side was in partnership with CTC, who refused to allow helmet compulsion. I have never found a mention of the scheme in CTC annual reports or anywhere on the CTC website. The rides are very gentle and aimed at new/infrequent/returning adult cyclists, often referred by GPs due to health issues. Shortest rides are around 3 miles without hills over a one hour period, longest around 11 miles.
My understanding is that the majority (all?) of their regular ride leaders are trained by British Cycling (Sky Ride Leader?). Sustrans ride leading requirements are either their own in house scheme, CTC Ride Manager, MIAS Level 1 or British Cycling Sky Ride Leader. I doubt that the generic CTC ride leader course will be sufficient qualification for Medway, but if there is a CTC connection with what they are doing I may be wrong.
Historically they have always offered free British Cycling ride leader training, in return for a commitment to lead rides (one a month for 12 months?).
I would suggest referring to Tejesh Mistry at Cycling UK.
Edit: Related thread
from which I inferred TM to be a likely contact re the CTC Group Ride Leader courses.
Edit 2: Policy change, now mandatory helmets. I've told them I have no further interest in the group.
There'll be tarmac over, the white cliffs of Dover ...