My app of choice is AntennaPod, mainly because its the best app I've found on FDroid.
Recently I've been listening through Newbie Star Trek, just because I really enjoy TNG and its nice to hear the discussions about it. I also listen to Security Now(since I do cybersecurity), the citizen's guide to the supreme court, and no bullsh!t vegan.
You're not gonna have much luck. If you're able to clone these kind of cards, its an honest security vulnerability and should be reported.
As an alternative, I've seen people suggest using a smartwatch, like the Garmin ones, that have a "wallet".