If culinary is a word related to cooking or food, like a 'culinary experience', what would be a similar word for shopping?
Just to get the ball rolling...
The common phrase for describing it seems to be "shopping experience".
Here's an Ngram plot for "shopping experince" used in Books from 1960 to 2000.
To re-iterate @Edwin Ashworth, attributive nouns work just fine as adjectives. It's better for you to use "shopping experience" for your context.