I was gonna answer but others have beat me to it...
...the Westin Chosun is in a great location (near gate 9 I believe) easy access to public transit, you can take the airport shuttle bus right to the front door.
Lots to walk to in the area.
The lounge is very nice, with lots of selection, and very friendly staff.
Only downside, if the Koreans are protesing about something (which they do allot) the protest square is right outside the property, so I spent one whole night listening to drum beats and seeing projectiles thrown at riot cops.
next night same thing.
Following visit, no issues.
Third visit it was the farmers that were p!ssed about something, and they were at it in the square.
That's the only negative.
Be aware if you look anything like military (in decent shape, short haircut) you may get some agro from the locals who really do not like the US military presence in their country. Especially in places like Itaewon (bar/resto district). I started carrying my passport with me as I got verbally harrassed and physically threatened (I'm a pretty big guy) on two occasions as groups of young guys thought I was US military.
Not trying to open a can of worms about US foreign policy, I'm just sayin' cuz it happened to me twice.