Well, I would suspect that the Bahamas would become a state onto themselves, but Bermuda... At first it would be a territory no doubt, but statehood is too much, especially with the electoral college still up and running. I mean even with 1 elector it'd be rather unjust. However I can imagine it getting some serious autonomy rather early, similiar to D.C. nowadays.
Regarding the Turks and Caicos, I'd imagine them either staying with Great Britain (as part of the compensation of letting Bermuda and the Bahamas go in the first place) or being part of the Bahamas due to geographic proximity. Making them their own territory seems excessive and Bermuda can't really control and integrate it into democratic processes it because of the distance (at least not in the 18th and most 19th century).
Regarding the Turks and Caicos, I'd imagine them either staying with Great Britain (as part of the compensation of letting Bermuda and the Bahamas go in the first place) or being part of the Bahamas due to geographic proximity. Making them their own territory seems excessive and Bermuda can't really control and integrate it into democratic processes it because of the distance (at least not in the 18th and most 19th century).