I suspect if there are no companies involved, setting up a CIC is still required for that purpose.
I suspect so too.
Just to give the full picture, in case anyone is interested - here is the timeline of my small CFP:
Aug 18 - I registered and started lobbying neighbours for interest in CFP
Sep 18 - OR produced first estimate of costs for 7 properties. One property dropped out. I told OR that we six wished to proceed. There was no change in price.
Nov 18 - we all validated our requests for vouchers, to help with payment
Dec 18 - I signed contract for delivery within 12 months at the original price, less voucher contribution. I collected contributions and paid.
early 2019 - various generic email updates on progress
July 19 - I noticed I had not received an update for a while and queried. I was told OR had decided to cancel our CFP contract! The reason given was that we were being moved in to BDUK and our payment would be refunded and delivery would take place "probably within 12-18 months". I launched a formal complaint on this blatant breach of contract
Sep 19 - OR agreed to deliver within the originally agreed timetable, and refunded our payment
Dec 19 - cable pulled though to my house
Jan/Feb 20 - all six properties (plus a few others) went live; some earlier than others
Dealing with OR was generally hard work. The contact person changed several times. Emails were frequently not answered, or were answered with incomplete information. Self-imposed deadlines for next steps by them were frequently missed with no updates or information given. There were dozens and dozens of email exchanges with OR, and with keeping neighbours up to date.
That said, at the end of the day we all got fibre broadband at no cost to us and pretty close to within the original timescale promised. And it's great.
Ironically, I was contact by a slightly-further-away neighbour in March this year, asking if I wanted to join his CFP scheme.