When you like big designs, but only have a small hoop, there is a solution. This works for both free standing lace embroidery and applique designs. Just group several small designs together and treat them as applique.
Instead of stitching them on hooped fabric, stitch each design on water soluble stabilizer (WSS). Free standing lace and applique designs can be stitched in the normal way. Other lace designs may need an extra layer of either tule, organza, or a grid of cross-hatched stitched lines and defined edges so that that the design does not fall apart when the stabilizer is dissolved.
After the WSS is removed and the designs are dry arrange them on your quilt or quilt block. A bit of washable glue on the back will hold them in place. Use a regular sewing machine with monofilament thread or embroidery thread that matches the design. A straight stitch around the outside edge or a narrow zigzag stitch will do the trick and does not require hooping.
The advantage of this system is that you can fill a quilt block with embroidery and decide on the placement of the designs before they are attached. You could even make a whole wall hanging that way. Here is an example I made a couple of years ago:
Have fun everyone.