I feel that there is some confusion about what the Holy See might allow to Anglicans coming into full communion as groups.
Uniatism is not a term that has any canonical meaning. There are no Uniate Churches. There are only Churches, of different Rites, in full communion with the Holy See.
Anglicans do not have a distinct Rite. The idea of some tractarians that medieval England used, not the 'Roman Rite' , but the Sarum (and other rites), was a nonsense. Sarum et al were mere dialects of what has always been a pluriform Roman Rite (and, before the standardisation which printing enabled, was very much more pluriform). Adrian Fortescue neatly pointed out that to speak of the Roman and Sarum rites is as daft as to speak of English, French, and Yorkshire as three languages. Significantly, and very logically, the United Anglicans in the USA who use the Book of Divine Worship are using 'The Anglican Usage of the Roman Rite'. The question is: what structures Rome would allow for groups that use variant forms of the Roman Rite.
And there is no doubt that Rome would be infinitely flexible, adapting canonical structures to suit the needs of real situations.
There is, in the Roman Communion, the 'Extraordinary Form' of the Roman Rite. When an entire quasi-Diocese in Brazil, which used this Form, returned to full communion, Rome erected them into a personal (but stable) Apostolic Administration. Something even more broadminded and generous is on offer to the SSPX. These are the analogies which are relevant to our situation.
I suspect that the real issue is not what structures Rome would allow, but the ability of Anglican Catholic clergy to bring groups with them. So many layfolk have a residual affection for their ancient parish church or even their ancient diocese. That is why we need to be a firmed-up ecclesial entity before we make a final move (see earlier posts). And to be strong and real enough to be able to take with us some of our properties - which, in its heart of hearts, the Cof E doesn't really want to be lumbered with the upkeep of anyway.