Sweden is nice. But carry on north into Finland, then down the coast of Norway
You can do it in two long days riding, just about, but I'd recommend three days. All the way down south to the channel tunnel (by far the worst bit of the journey), across into France, Belgium, Netherlands, Germany, Denmark, Sweden.
There is a ferry from the eat coast to Denmark I believe though, which will cut out a lot of the riding. May actually work out about the same cost-wise if you factor in fuel & wear-and-tear on the bike.
This was my trip, but I'm afraid the server that hosts the pictures is currently down. I'll give it a kick when I get the chance, but the link to my route is in the first post. The main focus for me was Norway, so I blasted through Sweden on the main roads, but it was very pretty, and easy to drive there.
