If there was no ARW - then there could be a British Napoleon (Well, continental conqueror at least).
Assuming we have a British Empire with a Floating Court and some devolved Parliaments throughout the US - we could have the rise of a threat in Europe cause the vast manpower of Britain, British America - and any other colonies, brought in to fuel a war with the Netherlands - who for some reason are left to their fate. (Perhaps the Spanish don't want to intervene, or France is otherwise occupied in Italy). From this base in the Netherlands, the British Empire could have a Napoleonic figure emerge - essentially a very talented British General (i.e. a Wellington/Napoleon/Blucher analogue).
Starting with small interventions to stabilise the British Lowlands borders, the western part of Germany is invaded, and each intervention leads to more complications, as new territories cause the need for new Parliaments, who need stability. Instead of Napoleonic Republics, instead the Empire sets up powerful Parliaments - guaranteeing the loyalty of the locals. The Parliamentary Revolution doesn't have the outright hatred of the other nations that the French Revolution did, but if people suddenly see old Absolute Monarchies becoming Parliamentary then that could have a similar effect.
The problem is the British NEED to have North America for this to work, and having India would only help. Being able to pull on the manpower of a rapidly growing North America and the Indian Subcontinent takes Frances manpower and trashes it. It also relies on controlling the seas, but with the British and Dutch navies, and an alt-timeline where Maritime power is that of the NA seaboard and the British Isles, Britain should easily be able to pull that off.
If that Empire can be held together for at least a generation, to allow things to calm down - the manpower of that Empire is comparable to China, armed to the teeth with the latest technology of war. Heaven help Russia. The Great Game stopped being a game.