Some potential leads, with this one being a very strong candidate (albeit expensive) for the release that you seek:

https://www.ebay.com/itm/Betamax-HiFi-Lot-of-6-James-Bond-Movies-Moonraker-Thunderball-Dr-No-Golden-Gun/352396361267?hash=item520c75be33:g:D-EAAOSwLWBbPBOu:rk:1:pf:1&frcectupt=true

Dr. No Beta

There are also these CBS-FOX releases from 1984, much cheaper, but very likely censored, given what you have you described with the subsequent home video versions:

https://www.ebay.com/itm/DR-NO-JAMES-BOND-007-BETA-RARE-1962-Sean-Connery-Ursula-Andress-CBS-FOX/163468161030?hash=item260f763006:g:IloAAOSwOAVaTUTp:rk:2:pf:1&frcectupt=true

Dr. No Beta#2

https://www.ebay.com/itm/James-Bond-Dr-No-1984-Sean-Connery-VHSshop-com/253384697917?hash=item3afee7a83d:g:UbUAAOSwcuZaZqin

Dr. No VHS

Dr. No VHS rear cover with 1984 date