Lake Wales CC is open to the public now.
Downers Grove of course was originally CBM
Forrest Park in St. Louis if you believe a few 1912 papers is possibly a public Raynor
Riddell’s Bay sadly seems to be NLE.
North Palm Beach May as well be considered NLE as far as Raynor goes
Old White, MOC, Rock Springs, Hendricks Field (Banks,) The Knoll West (Banks,) Francis Byrne (Banks with early Raynor influence,) and Hotchkiss as previously mentioned all allow public play at times.
I’m sure anyone wishing to play Yale could probably find someone willing to help too.
I’m dubious over Bellport actually being a Raynor. It was built as the Suffolk County Golf Club. I think over the years the proposed Raynor course at Islip for Marion Hollins father might have been confused with the course that became Bellport. The Hollins project was called Suffolk County Country Club. I know Bellport looks like a Raynor offering in the 1960s aerials, but I have yet to uncover anything actually tying Raynor to the work. I would love to be proven wrong.