I'd recommend not buying a single trigger AYA. Don't know if they all doubled, but mine did about every 6-8 shots. Upside was the durned thing weighed like 9#, recoil wasn't that severe, even with two 1 5/8 oz. BB's cranking out at the same time! Should you win the lottery this week Bass Pro Denver has my dream gun, Purdey, two sets of bbls, 12 ga 3" and 10 ga 3". They're only asking something like $35k. Checked my lottery ticket and didn't win so it's still available.
If I were you, and shooting premium shot, I'd look at 2 3/4", the geese really can't tell the differnce. For $2K there are lots of nice Foxes, LC's and Ithaca doubles out there. Buy one and spend the rest of your $2k on good ammuntion. I shoot a Sterlingworth and fold 'em with Hevishot Classics.
Steve