A way to skip cards after battles would be good, but there is always a more interesting way...
Some rogue likes do something like this: merging duplicates to create a better or higher-rarity item of the same type (e.g. I have three clay golems and I can merge them into a stone golem or something). I think this would work well given the relatively inexpensive rerolls after battle. I won't actually recommend this but it's worth trying. Did I mention the game is great?