I agree, we actually sketched a very similar process (and a business model canvas) with some friends during a brainstorming idea :) .
One particularly promising idea was combining internet orders, with a pick-up place like BufferBox.
We also added some ideas to our canvas that were more specific to my country, but it's definitely viable and among my favourite things I'd do if I was able to do a startup. I hope someone is able to do it.
https://www.bufferbox.com/
Edit: swapbox too, it seems bufferbox is winding down which is sad.
https://www.swapbox.com/
I don't see if those offer refrigerated holding. I think a similar service, specializing in foodstuffs, has a niche.