Hey there,
That's great feedback! Currently there isn't a way to skip taking cards, as I was trying to work out a good balance between being able to draw your good cards, without being able to discard all bad cards and being really overpowered. The only way to get rid of cards currently is by selling 3 of them at a time in a shop.
It's good to hear that you don't like the current balance of that. I will try to think of some better ways to reduce how clogged your deck gets!