Question about the BeyondPod App

You can set it not to automatically download new episodes

assuming it looks the same as my phone (Samsung Note 3), when you open app, you see a few cards/tiles/whatever. From there:
1) press hamburger icon on top left
2) scroll down the menu of feeds to "settings"
3) general settings
4) feed defaults
5) episode download
6) select "no episodes"... mine is set to "1 episode".

I use BeyondPod a little and it works well enough. I've also played around with Pocket Casts and Podcast Addict. Overall, prefer Pocket Casts, though that's not based on any objective reason.

Glad to help. Hope it actually works for you.