I am Paraguayan, so I can post some ideas that can help you for avoid the cliche NHISA:
-Paraguay join to the May Revolution in 1810.
-Doctor Francia is overthrown via coup by Fulgencio Yegros, who aligned Paraguay with Argentine Federalism.
-Paraguay loses Chaco, it is annexed by Argentina. This has an interesting consequence: the Chaco War is between Bolivia and Argentina, it is highly probable the Argentina victory with total annexation of Chaco (IOTL Paraguay left a small portion of it for Bolivia, incluiding access to Paraguay river).
The third is really important, because I see in many ATL's that Paraguay always has the Chaco with the same border. So yes, it can be worse for Paraguay in the Paraguayan War.
I don't know if other South American members of the forum want to help with common cliches of South American Alternate History.
-Paraguay join to the May Revolution in 1810.
-Doctor Francia is overthrown via coup by Fulgencio Yegros, who aligned Paraguay with Argentine Federalism.
-Paraguay loses Chaco, it is annexed by Argentina. This has an interesting consequence: the Chaco War is between Bolivia and Argentina, it is highly probable the Argentina victory with total annexation of Chaco (IOTL Paraguay left a small portion of it for Bolivia, incluiding access to Paraguay river).
The third is really important, because I see in many ATL's that Paraguay always has the Chaco with the same border. So yes, it can be worse for Paraguay in the Paraguayan War.
I don't know if other South American members of the forum want to help with common cliches of South American Alternate History.