Ok.....so here are some thoughts now that I see where you are leaning. Also, I didn't see alot of interest in Argentina.....but it might be a really nice mix of all of the things you are looking for. Safe, beautiful, historical, culturally different, and from Florida the flights are reasonable as well as shorter than from most places. You could even package it with a rougher place like Bolivia or Peru (Machu Pichu off of the bucket list is cool).
I went through almost all of south America. Brazil is very Afro Carribean, but witht he world cup, it will be almost impossible to get ahotel depending on when you go.
I've been to Scotland/Ireland, and that was fantastic. Just pick the sunnier time of year. Bars are some of the best parts of those places......so maybe later when the kids are older?
I personally wouldn't screw with Nigeria or Ghana right now, although i have been to South Africa in the past and enjoyed it.
New Zealand is actually the next trip I am taking. Alot of hiking to do, and I love LOTR which helps. The gloworm caves are one of the things I want to see before I die.
All in all, i would still suggest south america. A nice stepping stone to something even more adventurous. Argentina is easy and cosmopolitain, with plenty of rugged sites depending on time and wallet. Patagonia, Iguazu falls, Bariloche looks like the swiss Alps, El Chalten is anational park in Patagonia where i had the best hike and best steak I have ever had in my life. I dream of them. Bolivia is pretty rough around the edges, and you can see the Uyuni Salt flats which are a site to behold. Machu Pichu and cuzco are tourist traps, but for good reason. You can even go trough lake titticacca to get from Bolivia to Peru by bus.
Sweden......is.......awesome. So is Norway. Go in summer, and the sun is out until 11. People are friendly (in their own way), but mainly they are accepting and interesting. The golf was fun too.
But if I was you, I would say Buenos Aires, then Chile. Stop in Peru on the way home if you want to see Machu Pichu, or depending on budget, go to the Galapagos Islands in Ecuador. Talk about once in a lifetime. The craddle of evolution.
Ok, thats all i got.
My current list of travel destinations is as follows.
1) New Zealand
2) Iceland (northern lights viewing)
3) Lisbon (Portugal)
4) Marakech (Morraco)
5) Gansu, China (and more)
6) Croatia (plitvice lakes)
I'm sure there is more.....but a guy can dream right?