That's such a cool idea, you should definitely post when you're finished!! you can glue craft wire on the insides of the ears; this has the added benefit of making them posable too. you can also glue a foam sheet or cardstock on the inside. Try looking up kemonomimi ear tutorials online.
Instead of making the ears a flat shape, you could try curling them into a semicircle kinda like actual coyote ears. That way the base will be wider and they wont go limp and it would look more like actual ears.