Another possibility is to stitch out the block(s) you want to use with the designs, then use those block(s) in the quilt. If you do it that way, then use those block(s) as the main focal point of the quilt. I would use some thin batting behind them to give it a slight puffy rich look to it.
If you want to do the designs for other smaller border pieces, again, stitch them out and then use them as the you would use in the border.
The main idea here is to stitch out your designs, then cut them down to the size you need, and you will then eliminate any potential hoop burn or distortion of the fabric.
I hope I haven't confused you?