Sometime between mid-May and mid-July (we're flexible) my wife and I need to go to Copenhagen for a few days. I'm a 1K with a few over 100K miles in the account, and 5 SWUs (we'd like to buy coach and fly C), but can't figure out how to make this happen with the UAL or the Star Alliance websites.

Can anybody who's done this suggest who to call (UAL? Star? Bucket shop/consolidator?) and what to ask for in order to make this itinerary work?