The sames rules should apply in Sweden as well. Get the permission from the land owner and it is done.
I can only recommend airfields but since you have the option to go where you want I guess you can just check out nice accomodation on internet and then see if they can let you land there.
I am not really sure how much south you mean with southern Sweden but there are plenty of airfields to visit.
Söderslätt/ESTT - Eslöv/ESME - Höganäs - The island of Öland has some strips and nice scenery - Visingsö and many more.
Most of the airfields are nice enough to put up a tent as well.
I can really recommend Stegeborg airfield close to Norrköping/ESSP, they have a very nice restaurant and a beautiful archipelago just a couple of miles east.
Another nice airfield is Varberg/ESGV, close to town which is known for its spa treatments and a lot of other stuff.
Good luck and welcome!
