Sort:  

There are a few that the local news has no problem picking up on:

http://katv.com/archive/arkansas-hair-salon-accepting-bitcoin

https://airbitz.co/biz/4529/iprov-llc-little-rock/

In the new Outlets at Little Rock there is a 3D ride service that I believe accepts Bitcoin as well.

And there is a meetup coming later this month - https://www.meetup.com/Ethereum-Little-Rock/?_cookie-check=Bv38pgBHmBbTVyV2

I run a PR company and have been accepting Bitcoin (and paying with it) for a few years now - admittedly not a lot of business with the crypto crowd yet but there is some and it is steady work.