How to cast Downloaded shows with out Wifi

My son has a kindle fire with a bunch of shows downloaded from Amazon Prime.

Our lake place doesn't have Cable or Wifi and barely has a cell single. We are not going to add more monthly bills by adding cable or internet down at the lake place.

How can I cast his shows to the TV's without using wifi.

It looks like a fire stick needs to have Wifi to work (I could be wrong). And a google chrome won't work with Kindle fire and Amazon prime. At least I can't find away, I can get it to stream at home through the laptop but not the Kindle fire.