I do not know what a hopper or Joey is, or what they do. I have dish network in my house with 2 televisions hooked up to it and can record on both of them. ...I have buried a cat cable underground and barn has wifi. Any suggestions. Looking for most economical way to do this.
OK, so assuming you probably have a 722k or 612 DVR then right? Best to provide as much information about your setup as you can; Dish equipment, Internet speed and TV. This is a Hopper focused thread and not general Dish equipment so I will offer my suggestions around a Hopper.
Upgrade to a
new Dish Hopper 3 or Hopper w/Sling. They have Sling built in. It also will allow you to connect Joeys. The Hopper is simply like any DVR you have already. Watch TV, record, etc... But these Hoppers offer more features, H3 has more processing power and tuners (16), Netflix, etc... Think of the Joeys as slave devices that connect to the main Hopper to get their TV channel, watch the recordings, etc... Joeys are smaller, have no tuners (except Super Joeys) and do not store recordings on them.
Hoppers:
https://www.mydish.com/upgrades/products/receivers/the-hoppers
Joeys:
https://www.mydish.com/upgrades/products/receivers/the-joeys
1. With that said, since you state you have a hard wired Ethernet cable in your barn you could opt to then get what is known as a wireless Joey for the barn. It allows you to connect to the main Hopper (in the house) either via the private wireless connection the wireless Joey system creates or using a hard wired Ethernet cable. This is not the same home wireless network you have so your barn wifi will not work for this.
I do not think the wireless signal between the Joey and Hopper may be powerful enough over 200' feet but the ethernet connection on the Joey will work. I have a wireless Joey myself and do NOT use the wireless connection. I connect via the Ethernet cable to my home network and works perfectly.
2. Do not know what type of TV you have, but if you had a new Hopper 3 or w/Sling, a Samsung mobile device (phone or tablet) and a Samsung TV you could use the mobile device on wifi in your barn (with a good, Internet connection) to connect to the Hopper via the DishAnywhere app. You can then tune into one TV tuner to watch what you want (and it does not have to be the same live TV that is being watched in the house Hopper) or watch a recording. You would then use the Samsung screen mirroring feature to play what is on your mobile device on the TV. You may however see some stuttering if the wifi connection is not good. At work I do this exact thing in the building's workout room. They have a Samsung TV and pretty good wifi. I connect to my home Hopper 3, mirror my Samsung phone screen and watch recordings I have or live TV (since the gym only has basic Direct TV channels and SD, uggh).
3. With the right devices hooked up to your dish, you could run a dedicated coax to your barn like you did the cat cable (hoping it is cat 5e or better yet cat 6).
More info on a coax max distance for a person in almost the exact same situation as you:
http://www.satelliteguys.us/xen/threads/maximum-distance-to-joey.303112/
Good luck.