Where could Hannover have colonies in the early 1800s? By then, I think anything in the Americas would not be feasible unless you get other another country to sell a Caribbean Island, perhaps Sweden or Denmark?
They could establish a trading station/fort somewhere along the Gulf of Guinea or the Swahili coast, but would that even be profitable? Slavery would be a no go, considering UK-Hannover links.
Perhaps they get a concession in India, Portugal and France had a few, most were relatively obscure. The East Indies would upset the Netherlands, who are in a much better position there.
I just don’t see a settler colony established in Australasia, if Hanoverians wanted to emigrate, wouldn’t it be more practical to go to the US, or somewhere else under British
protection?
I think somewhere on the Indian Ocean would be the most feasible location, the Austrians had a presence on the Nicobar Islands, all is needed is a few wealthy merchants and perhaps King George IV or William IV to invest in the venture (as a private individual) to get a charter and then have a few explorers-adventurers get going. Eventually, if successful, Hannover can claim jurisdiction over them.
I think Hannover would be a tier 3 colonial player, on par with Sweden and Denmark in the 1800s.
Tier 1: UK, France (large global holdings)
Tier 2: Netherlands, Portugal, Belgium, Spain (sizable regional holdings)
Tier 3: Sweden, Denmark, Hannover, Austria (small, scattered outposts)
I left Italy and Germany out because who knows if there is even going to be a unified Germany or Italy with this POD.