Recipes using "mixed" tag ingredients, or prioritizing recipes?

I'm writing this well aware that I'm probably wasting five minutes of my time asking how to do something impossible, but here goes anyway.

I want to have two "tiers" of recipes for a type of wooden object - let's use the chest as an example, and the chest variants like in Quark. Making variants for each type of wood is easy, I don't need help with that. What I'd like to do is also have a recipe where you can use a mix of planks - any mix of planks - and it creates a "default" version of the item. The obvious problem there is that if I do it the straightforward way and just use the `wood_planks` tag in the pattern, it'll conflict with the single-wood variants.

So! Is there any way to specify in a recipe that the ingredients can be anything within a tag, as long as there are at least two different ingredients from the tag? And if not (since there probably isn't), is there any way to set things up so the game will only use the "default" recipe if there is no other matching recipe?