We've stayed at the Swan many times, and love this resort!
For us, the non-Disney status of the Swan is barely noticable. It's almost a technicallity.
You can see the parks from your room - Epcot or MGM- depending on the the view! You can't say that about most WDW resorts! (Do have DH join their rewards program! Even if it's your first stay, you may get a room view upgrade. I think It's called Starpoints, or Starwood Preferred.) The resorts are really pretty, have better beds than WDW, share boats with the Epcot resorts, have MUCH better coffee that the WDW resorts.
The walk to Epcot from the Swan is really great. When I think of waking up at WDW, and starting my day, this is what I picture.
If you are at the Swan and want to grab a quick bite on the way to Epcot, consider the Boardwalk Bakery - it's on the way as opposed to the QS place in the Swan, unless you want eggs or a resort mug. At MGM, consider Starring Rolls for quick bite.
In the afternoon, the poolside eateries are nice. The one at the Dolphin has a wide array for frozen adult beverages too! Speaking of which, the pool is quite nice there. Maybe not quite as 'cute' as some of the WDW themed ones, but the hidden hot tub with the waterfall is a gem. Much nicer than many of the WDW resort hot tubs. I really like the waterfall on the main pool and the water volleyball court.