My experience has been that you look for supermarkets that sell good product - and that can even vary by chain. I look for locations that sell a lot of the product and that most of the bagged inventory gets sold each day. And I watch how the product is merchandised.
I don't care about the expiration dates at all. I have had bagged salads that are seven days past turn out very well and bagged salads that are seven days before date that have turned brown.
For example, the bagged salads in my local Fry's (Kroger) stores are excellent. The produce staff restocks the bagged salads at least three times a day and they fly off of the shelves.
If I head up to the new Fry's store in a largely Hispanic area, the bagged salads are stocked about once a day and they are not quite as fresh. There sales are much less than the store that I shop.
If I head to the 99 Only store, the product is NOT merchandised under good refrigeration, is piled up, and is generally NOT in the best condition. And by the way, those are the flattest bags around.
I will say that some of the puffiest bags that I have seen are at some of the salvage markets in the Midwest including some of the vendors in Detroit's Eastern Market, Cleveland's West Side Market, and St. Louis' Soulard Market.