Can Sweden be exotic? Yes. If you want to do something extraordinary, walk on a guided tour on the rooftops of Stockholm. See https://www.takvandring.com/en/home.
You might also try to be allowed to walk up into the bell tower of the Cathedral in the Old City. The people in the office might send somebody with you though. If you go, be sure not to stand under the big bells as they chime the full hour or half hour.
City Hall also has a great tower to climb to see the city from above. And it has an elevator hallway and ramps the remaining six floors to the top!
Another good place to see Stockholm from is Kaknästornet, the big TV-tower. It has elevators and a restaurant on top.
You will see Stockholm from above from the height above the cruise ship terminals. The name of the street with small ancient houses you will love is Fjällgatan.
Pleasant travels, S