I have not experienced that myself, but it sounds like a problem with limitations allowing the displaced air during filling to escape. If you have moved the nozzle around (which should allow air to escape through the fill tube) and that hasn't helped, I'm not really sure what the issue is. I'm not sure what trim level you have (or it makes a difference), but my DS does have a locking fuel door, it unlocks when you have the key nearby (just like the doors), so you wouldn't have to unlock it for access as long as you have the keys nearby (in your hand or in the car).
I recently had the joy to rent a U-Haul truck, and had the same issue at a few gas stations where the flow rate from the pumps was so high that caused shut off. Sounds like what you are experiencing. My solution in that case was either to hold the handle to control a very slow fill rate, or set the handle for a slower fill rate. I didn't experience that problem at all filling stations, just a few.
2016 DS HSE, Corris Grey w/Black Pack, Climate Comfort Pack, Driver Assist Pack, Vision Assist, Audio Upgrade, 5+2 seating, Protection Pack, Black Roof Rails