You want to sightsee and get into another culture ? My hands down suggestion would be to go to India . It has one of the most diverse populations in the world and is the home to many monuments. Every state has something to offer in terms of cultural diversity as well as places to visit. You wouldn't be disappointed . And in fact, since you say money wouldn't be a big concern , you could very well end up visiting most of the monuments in the country within 3 weeks.
Thank you for your suggestion! India does seem tempting. Do you have any specific places you recommend to go to? The 'Really Must Sees'? :)
I'd surely recommend visiting the backwaters of Kerala(known as The God's own country).Then the country's capital - Delhi, home to a lot of historical monuments. Then to Agra, the home to the Taj Mahal- one of the wonders of the world, which is just a few hours ride from Delhi. If you travel further North , you could go to Ladakh and Leh- beautiful sceneries await. And wherever you go , make sure you try out the local dishes .I'm sure you'd be impressed by the number of different types of food you get across the country. Apart from the monuments there are a lot of temples you could visit and you'd be struck by awe on seeing how collosal a few of them are. Overall I'm sure you'd enjoy your vacation.
Really, thank you so much for taking the time to write this. Means a lot! I'm gonna check it out and put it on the list. Doing some research as well on what you said to lay out a potential travel plan!