My first thought was also one called "Fancy Forest" by Elizabeth Hartman. ALL of her patterns are pieced only, no applique. Fancy Forest has bunnies, owls, foxes, hedgehogs, butterflies, and some trees. Maybe you could also incorporate a bear and a moose (which could easily be a deer). She also has another one that might fit the bill called "Delightful Desert". Regardless of the name, all the critters look like they could live in a forest.
https://ohfransson.bigcartel.com/pro...-quilt-pattern
Here's a link to her pattern page with all her woodland-type patterns.
https://ohfransson.bigcartel.com/cat...forest-animals