I've got 1 and I love it.
The SE is the adventure with the following bits added in the factory;
Heated grips
ABS
crash bars
Because its the adventure you also get the 30 litre tank, bigger screen and beak and so on.
The color is White, which is also unique. There was only 90 delivered to the UK - although a few more were imported, so you do have a fairly unique bike.
The standard adventure was nearly 9k new but with the above extras was nearer 10k. The SE was 9,500 all in.
How many miles and how much is the 1 your looking at - private or dealer? Personal interest as I have 1.
Cheers.