Hi! I've been a lurker on this forum for a while but I think this 1700 scenario is a great idea. However I do have some suggestions regarding city placement.
North America: Looks good, but I think we should add a French Port Royal and an English St. Johns. Maybe Toronto should be French too.
Caribbean and Central America: First off, I think we should get rid of Belize and replace it with Spanish Oaxaca and Panama City. To make this setup better, I think that coffee and the Central American bananas should be in Panama's BFC and the fish in the Pacific should be moved into Oaxaca's range. Also I think Caracas would be better one tile west. Georgetown should be one tile northwest and be Dutch along with Paramaribo, and maybe we should remove Cayenne. In regards to the Caribbean, I think there should be an no Santo Domingo or Bridgetown, with a French Port au Prince and Martinique instead. Also I think there should be an English Kingston and Nassau and the spice island should be a hill with sugar on it and should be Spanish San Juan.
Africa: Lagos should be 2 east and 1 north of where it is now. Also I think we should replace Mbanza Kongo with Portuguese Luanda 1 south. Also I'm not sure there should be a native city in northern Nigeria.
Asia: I think this may have been brought up before, but I think that Madras should be French Pondicherry instead. I also think that we should remove Goa and replace it with Mughal or independent Bangalore and Dutch Cochin. I also think the Madras spices should be moved into one south so that Cochin can easily get it to help the Dutch UHV. Guangzhou would probably be better as Portuguese Cantao, and I don't think Ambon is a very good city, but I guess that it's necessary for the Dutch UHV.
Europe: I think the French should have Brest and the English should have Plymouth, Manchester, or both. Also I think La Coruna should either be moved one west or one southwest as Santiago. I think Krakow should be replaced with Warsaw one north. Also, like many people here, I think there should be Venice instead of Milan and it should be Austrian, along with Austrian Budapest. I think Budapest and Belgrade can coexist peacefully.

And finally, I doubt this will fly but I think Frankfurt should be replaced with Munich one southeast. From what I know about modern German history, Munich has always been a larger and more important city than Frankfurt.
And that's it. Thanks for reading through that whole thing.