If you're in the US, you could look for your local chapter of Quilts for Kids. Mine donates to our local Children's Hospital. They just need to be made with good quality NEW cotton fabrics (flannel is okay) and machine stitched. I know my local chapter has people that will do the quilting work when provided with a quilt top.
http://www.quiltsforkids.org/find-chapter/
What a truly generous gift to offer so many quilt tops! I'm sure you will make many people very, very happy when they receive their very first quilt!