I do a lot of donation tops and have for years, most of what I do is donation. When I am confronted with a project and I have options, I always choose the one for "how I would do it for the person I love most in the world". That doesn't mean every crib quilt should be quilted as an exhibition quilt. Some speak to me and just need more work than others...
"Pieces big enough for backs" is always an issue in donation groups. It's a new thing for me to actually enjoy it, but I find I'm rather liking bias binding lately -- maybe you can put out a call for someone in your group to help you with that aspect.
For me, my questioning of suitable is when someone donates a badly made ugly something. I mean really, stuff I would turn so the "better" side was up before I put it in the dog bed. But a lot of things I do are rather... "taste specific" and you are either going to appreciate them or not (but they are made well!). People are different and want different things, I make a lot of bright bold things for the people who like that, there are other people who do more subtle things. I prefer my quilts go to groups that allow the recipients to choose them instead of just being handed something. There is likely to be someone who is a huge Walking Dead fan and would love a zombie quilt!
So here are some of my donations... "Seahawk Pink" is just the serpentine stitch. It's a simple option that works very well with large blocks/grids. The fabric for that one was bundled together at the thrift store, it was $3.99 for the top fabrics and the back came out of stash. The Suzy's Zoo "Daisy Ducks" was a top I got for $1.99 at the thrift store. It had been layered with two layers of very thick batting (that's just one in the final product and it was thicker than I would have liked) and a slightly too small not right flannel backing. The batting has been used for two projects, the flannel donated to the local preemie blanket group -- not bad for $2.